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Finding the Third Proportional to 442,892.25 and 687,100.50

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Solution

The third proportional to 442,892.25 and 687,100.50 is: 1,065,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,892.25 : 687,100.50 = 687,100.50 : x
  2. Step 2: Convert to fraction form
    442,892.25/687,100.50 = 687,100.50/x
  3. Step 3: Cross multiply
    442,892.25x = 687,100.50 × 687,100.50
  4. Step 4: Simplify right side
    442,892.25x = 472,107,097,100.25
  5. Step 5: Solve for x
    x = 472,107,097,100.25/442,892.25
  6. Step 6: Final answer
    x = 1,065,963.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.