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Finding the Third Proportional to 387,244.13 and 591,958.13

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Solution

The third proportional to 387,244.13 and 591,958.13 is: 904,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,244.13 : 591,958.13 = 591,958.13 : x
  2. Step 2: Convert to fraction form
    387,244.13/591,958.13 = 591,958.13/x
  3. Step 3: Cross multiply
    387,244.13x = 591,958.13 × 591,958.13
  4. Step 4: Simplify right side
    387,244.13x = 350,414,421,753.52
  5. Step 5: Solve for x
    x = 350,414,421,753.52/387,244.13
  6. Step 6: Final answer
    x = 904,892.80

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Why These Related Problems?

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