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Finding the Third Proportional to 522,216 and 781,344

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Solution

The third proportional to 522,216 and 781,344 is: 1,169,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,216 : 781,344 = 781,344 : x
  2. Step 2: Convert to fraction form
    522,216/781,344 = 781,344/x
  3. Step 3: Cross multiply
    522,216x = 781,344 × 781,344
  4. Step 4: Simplify right side
    522,216x = 610,498,446,336
  5. Step 5: Solve for x
    x = 610,498,446,336/522,216
  6. Step 6: Final answer
    x = 1,169,053.51

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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.