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Finding the Third Proportional to 217,782 and 461,754

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Solution

The third proportional to 217,782 and 461,754 is: 979,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,782 : 461,754 = 461,754 : x
  2. Step 2: Convert to fraction form
    217,782/461,754 = 461,754/x
  3. Step 3: Cross multiply
    217,782x = 461,754 × 461,754
  4. Step 4: Simplify right side
    217,782x = 213,216,756,516
  5. Step 5: Solve for x
    x = 213,216,756,516/217,782
  6. Step 6: Final answer
    x = 979,037.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.