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Finding the Third Proportional to 522,514 and 781,743

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Solution

The third proportional to 522,514 and 781,743 is: 1,169,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,514 : 781,743 = 781,743 : x
  2. Step 2: Convert to fraction form
    522,514/781,743 = 781,743/x
  3. Step 3: Cross multiply
    522,514x = 781,743 × 781,743
  4. Step 4: Simplify right side
    522,514x = 611,122,118,049
  5. Step 5: Solve for x
    x = 611,122,118,049/522,514
  6. Step 6: Final answer
    x = 1,169,580.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.