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Finding the Third Proportional to 316,452.38 and 422,727.19

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Solution

The third proportional to 316,452.38 and 422,727.19 is: 564,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,452.38 : 422,727.19 = 422,727.19 : x
  2. Step 2: Convert to fraction form
    316,452.38/422,727.19 = 422,727.19/x
  3. Step 3: Cross multiply
    316,452.38x = 422,727.19 × 422,727.19
  4. Step 4: Simplify right side
    316,452.38x = 178,698,275,051.66
  5. Step 5: Solve for x
    x = 178,698,275,051.66/316,452.38
  6. Step 6: Final answer
    x = 564,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.