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Finding the Third Proportional to 347,782 and 732,919

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Solution

The third proportional to 347,782 and 732,919 is: 1,544,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,782 : 732,919 = 732,919 : x
  2. Step 2: Convert to fraction form
    347,782/732,919 = 732,919/x
  3. Step 3: Cross multiply
    347,782x = 732,919 × 732,919
  4. Step 4: Simplify right side
    347,782x = 537,170,260,561
  5. Step 5: Solve for x
    x = 537,170,260,561/347,782
  6. Step 6: Final answer
    x = 1,544,560.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.