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Finding the Third Proportional to 296,833.99 and 700,019.40

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Solution

The third proportional to 296,833.99 and 700,019.40 is: 1,650,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,833.99 : 700,019.40 = 700,019.40 : x
  2. Step 2: Convert to fraction form
    296,833.99/700,019.40 = 700,019.40/x
  3. Step 3: Cross multiply
    296,833.99x = 700,019.40 × 700,019.40
  4. Step 4: Simplify right side
    296,833.99x = 490,027,163,657.70
  5. Step 5: Solve for x
    x = 490,027,163,657.70/296,833.99
  6. Step 6: Final answer
    x = 1,650,845.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.