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Finding the Third Proportional to 522,458 and 781,661

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Solution

The third proportional to 522,458 and 781,661 is: 1,169,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,458 : 781,661 = 781,661 : x
  2. Step 2: Convert to fraction form
    522,458/781,661 = 781,661/x
  3. Step 3: Cross multiply
    522,458x = 781,661 × 781,661
  4. Step 4: Simplify right side
    522,458x = 610,993,918,921
  5. Step 5: Solve for x
    x = 610,993,918,921/522,458
  6. Step 6: Final answer
    x = 1,169,460.36

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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.