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Finding the Third Proportional to 393,824.25 and 590,614.88

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Solution

The third proportional to 393,824.25 and 590,614.88 is: 885,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,824.25 : 590,614.88 = 590,614.88 : x
  2. Step 2: Convert to fraction form
    393,824.25/590,614.88 = 590,614.88/x
  3. Step 3: Cross multiply
    393,824.25x = 590,614.88 × 590,614.88
  4. Step 4: Simplify right side
    393,824.25x = 348,825,930,571.27
  5. Step 5: Solve for x
    x = 348,825,930,571.27/393,824.25
  6. Step 6: Final answer
    x = 885,740.10

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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.