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Finding the Third Proportional to 217,999.48 and 462,383.91

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Solution

The third proportional to 217,999.48 and 462,383.91 is: 980,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,999.48 : 462,383.91 = 462,383.91 : x
  2. Step 2: Convert to fraction form
    217,999.48/462,383.91 = 462,383.91/x
  3. Step 3: Cross multiply
    217,999.48x = 462,383.91 × 462,383.91
  4. Step 4: Simplify right side
    217,999.48x = 213,798,882,177.58
  5. Step 5: Solve for x
    x = 213,798,882,177.58/217,999.48
  6. Step 6: Final answer
    x = 980,731.17

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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.