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Finding the Third Proportional to 301,691.25 and 447,318.75

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Solution

The third proportional to 301,691.25 and 447,318.75 is: 663,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,691.25 : 447,318.75 = 447,318.75 : x
  2. Step 2: Convert to fraction form
    301,691.25/447,318.75 = 447,318.75/x
  3. Step 3: Cross multiply
    301,691.25x = 447,318.75 × 447,318.75
  4. Step 4: Simplify right side
    301,691.25x = 200,094,064,101.56
  5. Step 5: Solve for x
    x = 200,094,064,101.56/301,691.25
  6. Step 6: Final answer
    x = 663,241.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.