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Finding the Third Proportional to 522,462 and 781,667

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Solution

The third proportional to 522,462 and 781,667 is: 1,169,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,462 : 781,667 = 781,667 : x
  2. Step 2: Convert to fraction form
    522,462/781,667 = 781,667/x
  3. Step 3: Cross multiply
    522,462x = 781,667 × 781,667
  4. Step 4: Simplify right side
    522,462x = 611,003,298,889
  5. Step 5: Solve for x
    x = 611,003,298,889/522,462
  6. Step 6: Final answer
    x = 1,169,469.36

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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.