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Finding the Third Proportional to 378,411.75 and 586,531.13

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Solution

The third proportional to 378,411.75 and 586,531.13 is: 909,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,411.75 : 586,531.13 = 586,531.13 : x
  2. Step 2: Convert to fraction form
    378,411.75/586,531.13 = 586,531.13/x
  3. Step 3: Cross multiply
    378,411.75x = 586,531.13 × 586,531.13
  4. Step 4: Simplify right side
    378,411.75x = 344,018,760,593.77
  5. Step 5: Solve for x
    x = 344,018,760,593.77/378,411.75
  6. Step 6: Final answer
    x = 909,112.26

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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.