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Finding the Third Proportional to 217,782 and 462,008

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Solution

The third proportional to 217,782 and 462,008 is: 980,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,782 : 462,008 = 462,008 : x
  2. Step 2: Convert to fraction form
    217,782/462,008 = 462,008/x
  3. Step 3: Cross multiply
    217,782x = 462,008 × 462,008
  4. Step 4: Simplify right side
    217,782x = 213,451,392,064
  5. Step 5: Solve for x
    x = 213,451,392,064/217,782
  6. Step 6: Final answer
    x = 980,114.94

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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.