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Finding the Third Proportional to 359,397 and 532,089

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Solution

The third proportional to 359,397 and 532,089 is: 787,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,397 : 532,089 = 532,089 : x
  2. Step 2: Convert to fraction form
    359,397/532,089 = 532,089/x
  3. Step 3: Cross multiply
    359,397x = 532,089 × 532,089
  4. Step 4: Simplify right side
    359,397x = 283,118,703,921
  5. Step 5: Solve for x
    x = 283,118,703,921/359,397
  6. Step 6: Final answer
    x = 787,760.34

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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.