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Finding the Third Proportional to 307,972.13 and 476,659.69

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Solution

The third proportional to 307,972.13 and 476,659.69 is: 737,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,972.13 : 476,659.69 = 476,659.69 : x
  2. Step 2: Convert to fraction form
    307,972.13/476,659.69 = 476,659.69/x
  3. Step 3: Cross multiply
    307,972.13x = 476,659.69 × 476,659.69
  4. Step 4: Simplify right side
    307,972.13x = 227,204,457,687.60
  5. Step 5: Solve for x
    x = 227,204,457,687.60/307,972.13
  6. Step 6: Final answer
    x = 737,743.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.