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Finding the Third Proportional to 402,324.47 and 563,892.89

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Solution

The third proportional to 402,324.47 and 563,892.89 is: 790,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,324.47 : 563,892.89 = 563,892.89 : x
  2. Step 2: Convert to fraction form
    402,324.47/563,892.89 = 563,892.89/x
  3. Step 3: Cross multiply
    402,324.47x = 563,892.89 × 563,892.89
  4. Step 4: Simplify right side
    402,324.47x = 317,975,192,097.42
  5. Step 5: Solve for x
    x = 317,975,192,097.42/402,324.47
  6. Step 6: Final answer
    x = 790,345.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.