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Finding the Third Proportional to 359,743 and 519,722

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Solution

The third proportional to 359,743 and 519,722 is: 750,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,743 : 519,722 = 519,722 : x
  2. Step 2: Convert to fraction form
    359,743/519,722 = 519,722/x
  3. Step 3: Cross multiply
    359,743x = 519,722 × 519,722
  4. Step 4: Simplify right side
    359,743x = 270,110,957,284
  5. Step 5: Solve for x
    x = 270,110,957,284/359,743
  6. Step 6: Final answer
    x = 750,844.23

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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.