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Finding the Third Proportional to 296,499,588,025 and 417,536,756,432.75

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Solution

The third proportional to 296,499,588,025 and 417,536,756,432.75 is: 587,983,761,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499,588,025 : 417,536,756,432.75 = 417,536,756,432.75 : x
  2. Step 2: Convert to fraction form
    296,499,588,025/417,536,756,432.75 = 417,536,756,432.75/x
  3. Step 3: Cross multiply
    296,499,588,025x = 417,536,756,432.75 × 417,536,756,432.75
  4. Step 4: Simplify right side
    296,499,588,025x = 174,336,942,972,381,595,435,008
  5. Step 5: Solve for x
    x = 174,336,942,972,381,595,435,008/296,499,588,025
  6. Step 6: Final answer
    x = 587,983,761,237.75

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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.