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Finding the Third Proportional to 602,449.31 and 1,304,083.13

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Solution

The third proportional to 602,449.31 and 1,304,083.13 is: 2,822,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,449.31 : 1,304,083.13 = 1,304,083.13 : x
  2. Step 2: Convert to fraction form
    602,449.31/1,304,083.13 = 1,304,083.13/x
  3. Step 3: Cross multiply
    602,449.31x = 1,304,083.13 × 1,304,083.13
  4. Step 4: Simplify right side
    602,449.31x = 1,700,632,796,909.77
  5. Step 5: Solve for x
    x = 1,700,632,796,909.77/602,449.31
  6. Step 6: Final answer
    x = 2,822,864.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.