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Finding the Third Proportional to 359,399 and 532,092

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Solution

The third proportional to 359,399 and 532,092 is: 787,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,399 : 532,092 = 532,092 : x
  2. Step 2: Convert to fraction form
    359,399/532,092 = 532,092/x
  3. Step 3: Cross multiply
    359,399x = 532,092 × 532,092
  4. Step 4: Simplify right side
    359,399x = 283,121,896,464
  5. Step 5: Solve for x
    x = 283,121,896,464/359,399
  6. Step 6: Final answer
    x = 787,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.