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Finding the Third Proportional to 415,577.25 and 631,746

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Solution

The third proportional to 415,577.25 and 631,746 is: 960,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,577.25 : 631,746 = 631,746 : x
  2. Step 2: Convert to fraction form
    415,577.25/631,746 = 631,746/x
  3. Step 3: Cross multiply
    415,577.25x = 631,746 × 631,746
  4. Step 4: Simplify right side
    415,577.25x = 399,103,008,516
  5. Step 5: Solve for x
    x = 399,103,008,516/415,577.25
  6. Step 6: Final answer
    x = 960,358.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.