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Finding the Third Proportional to 359,741 and 519,719

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Solution

The third proportional to 359,741 and 519,719 is: 750,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,741 : 519,719 = 519,719 : x
  2. Step 2: Convert to fraction form
    359,741/519,719 = 519,719/x
  3. Step 3: Cross multiply
    359,741x = 519,719 × 519,719
  4. Step 4: Simplify right side
    359,741x = 270,107,838,961
  5. Step 5: Solve for x
    x = 270,107,838,961/359,741
  6. Step 6: Final answer
    x = 750,839.74

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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.