Home / 296,499,588,023.25-417,536,756,430.75

Finding the Third Proportional to 296,499,588,023.25 and 417,536,756,430.75

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Solution

The third proportional to 296,499,588,023.25 and 417,536,756,430.75 is: 587,983,761,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499,588,023.25 : 417,536,756,430.75 = 417,536,756,430.75 : x
  2. Step 2: Convert to fraction form
    296,499,588,023.25/417,536,756,430.75 = 417,536,756,430.75/x
  3. Step 3: Cross multiply
    296,499,588,023.25x = 417,536,756,430.75 × 417,536,756,430.75
  4. Step 4: Simplify right side
    296,499,588,023.25x = 174,336,942,970,711,457,136,640
  5. Step 5: Solve for x
    x = 174,336,942,970,711,457,136,640/296,499,588,023.25
  6. Step 6: Final answer
    x = 587,983,761,235.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.