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Finding the Third Proportional to 392,458.50 and 532,623

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Solution

The third proportional to 392,458.50 and 532,623 is: 722,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,458.50 : 532,623 = 532,623 : x
  2. Step 2: Convert to fraction form
    392,458.50/532,623 = 532,623/x
  3. Step 3: Cross multiply
    392,458.50x = 532,623 × 532,623
  4. Step 4: Simplify right side
    392,458.50x = 283,687,260,129
  5. Step 5: Solve for x
    x = 283,687,260,129/392,458.50
  6. Step 6: Final answer
    x = 722,846.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.