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Finding the Third Proportional to 217,973.85 and 462,358.28

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Solution

The third proportional to 217,973.85 and 462,358.28 is: 980,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,973.85 : 462,358.28 = 462,358.28 : x
  2. Step 2: Convert to fraction form
    217,973.85/462,358.28 = 462,358.28/x
  3. Step 3: Cross multiply
    217,973.85x = 462,358.28 × 462,358.28
  4. Step 4: Simplify right side
    217,973.85x = 213,775,182,046.56
  5. Step 5: Solve for x
    x = 213,775,182,046.56/217,973.85
  6. Step 6: Final answer
    x = 980,737.76

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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.