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Finding the Third Proportional to 420,876.75 and 631,801.13

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Solution

The third proportional to 420,876.75 and 631,801.13 is: 948,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,876.75 : 631,801.13 = 631,801.13 : x
  2. Step 2: Convert to fraction form
    420,876.75/631,801.13 = 631,801.13/x
  3. Step 3: Cross multiply
    420,876.75x = 631,801.13 × 631,801.13
  4. Step 4: Simplify right side
    420,876.75x = 399,172,661,551.27
  5. Step 5: Solve for x
    x = 399,172,661,551.27/420,876.75
  6. Step 6: Final answer
    x = 948,431.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.