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Finding the Third Proportional to 522,292 and 781,458

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Solution

The third proportional to 522,292 and 781,458 is: 1,169,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,292 : 781,458 = 781,458 : x
  2. Step 2: Convert to fraction form
    522,292/781,458 = 781,458/x
  3. Step 3: Cross multiply
    522,292x = 781,458 × 781,458
  4. Step 4: Simplify right side
    522,292x = 610,676,605,764
  5. Step 5: Solve for x
    x = 610,676,605,764/522,292
  6. Step 6: Final answer
    x = 1,169,224.51

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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.