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Finding the Third Proportional to 496,466 and 767,163

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Solution

The third proportional to 496,466 and 767,163 is: 1,185,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,466 : 767,163 = 767,163 : x
  2. Step 2: Convert to fraction form
    496,466/767,163 = 767,163/x
  3. Step 3: Cross multiply
    496,466x = 767,163 × 767,163
  4. Step 4: Simplify right side
    496,466x = 588,539,068,569
  5. Step 5: Solve for x
    x = 588,539,068,569/496,466
  6. Step 6: Final answer
    x = 1,185,456.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.