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Finding the Third Proportional to 305,513.38 and 462,202.13

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Solution

The third proportional to 305,513.38 and 462,202.13 is: 699,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,513.38 : 462,202.13 = 462,202.13 : x
  2. Step 2: Convert to fraction form
    305,513.38/462,202.13 = 462,202.13/x
  3. Step 3: Cross multiply
    305,513.38x = 462,202.13 × 462,202.13
  4. Step 4: Simplify right side
    305,513.38x = 213,630,804,354.52
  5. Step 5: Solve for x
    x = 213,630,804,354.52/305,513.38
  6. Step 6: Final answer
    x = 699,251.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.