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Finding the Third Proportional to 386,359.88 and 591,013.13

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Solution

The third proportional to 386,359.88 and 591,013.13 is: 904,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,359.88 : 591,013.13 = 591,013.13 : x
  2. Step 2: Convert to fraction form
    386,359.88/591,013.13 = 591,013.13/x
  3. Step 3: Cross multiply
    386,359.88x = 591,013.13 × 591,013.13
  4. Step 4: Simplify right side
    386,359.88x = 349,296,513,922.27
  5. Step 5: Solve for x
    x = 349,296,513,922.27/386,359.88
  6. Step 6: Final answer
    x = 904,070.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.