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Finding the Third Proportional to 359,743 and 773,921

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Solution

The third proportional to 359,743 and 773,921 is: 1,664,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,743 : 773,921 = 773,921 : x
  2. Step 2: Convert to fraction form
    359,743/773,921 = 773,921/x
  3. Step 3: Cross multiply
    359,743x = 773,921 × 773,921
  4. Step 4: Simplify right side
    359,743x = 598,953,714,241
  5. Step 5: Solve for x
    x = 598,953,714,241/359,743
  6. Step 6: Final answer
    x = 1,664,948.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.