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Finding the Third Proportional to 393,909.75 and 590,716.13

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Solution

The third proportional to 393,909.75 and 590,716.13 is: 885,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,909.75 : 590,716.13 = 590,716.13 : x
  2. Step 2: Convert to fraction form
    393,909.75/590,716.13 = 590,716.13/x
  3. Step 3: Cross multiply
    393,909.75x = 590,716.13 × 590,716.13
  4. Step 4: Simplify right side
    393,909.75x = 348,945,540,335.02
  5. Step 5: Solve for x
    x = 348,945,540,335.02/393,909.75
  6. Step 6: Final answer
    x = 885,851.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.