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Finding the Third Proportional to 361,101 and 782,466

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Solution

The third proportional to 361,101 and 782,466 is: 1,695,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,101 : 782,466 = 782,466 : x
  2. Step 2: Convert to fraction form
    361,101/782,466 = 782,466/x
  3. Step 3: Cross multiply
    361,101x = 782,466 × 782,466
  4. Step 4: Simplify right side
    361,101x = 612,253,041,156
  5. Step 5: Solve for x
    x = 612,253,041,156/361,101
  6. Step 6: Final answer
    x = 1,695,517.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.