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Finding the Third Proportional to 522,560 and 781,806

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Solution

The third proportional to 522,560 and 781,806 is: 1,169,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,560 : 781,806 = 781,806 : x
  2. Step 2: Convert to fraction form
    522,560/781,806 = 781,806/x
  3. Step 3: Cross multiply
    522,560x = 781,806 × 781,806
  4. Step 4: Simplify right side
    522,560x = 611,220,621,636
  5. Step 5: Solve for x
    x = 611,220,621,636/522,560
  6. Step 6: Final answer
    x = 1,169,665.92

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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.