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Finding the Third Proportional to 392,424.75 and 588,637.13

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Solution

The third proportional to 392,424.75 and 588,637.13 is: 882,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,424.75 : 588,637.13 = 588,637.13 : x
  2. Step 2: Convert to fraction form
    392,424.75/588,637.13 = 588,637.13/x
  3. Step 3: Cross multiply
    392,424.75x = 588,637.13 × 588,637.13
  4. Step 4: Simplify right side
    392,424.75x = 346,493,664,928.27
  5. Step 5: Solve for x
    x = 346,493,664,928.27/392,424.75
  6. Step 6: Final answer
    x = 882,955.69

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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.