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Finding the Third Proportional to 359,747 and 519,732

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Solution

The third proportional to 359,747 and 519,732 is: 750,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747 : 519,732 = 519,732 : x
  2. Step 2: Convert to fraction form
    359,747/519,732 = 519,732/x
  3. Step 3: Cross multiply
    359,747x = 519,732 × 519,732
  4. Step 4: Simplify right side
    359,747x = 270,121,351,824
  5. Step 5: Solve for x
    x = 270,121,351,824/359,747
  6. Step 6: Final answer
    x = 750,864.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.