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Finding the Third Proportional to 307,802 and 659,398

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Solution

The third proportional to 307,802 and 659,398 is: 1,412,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,802 : 659,398 = 659,398 : x
  2. Step 2: Convert to fraction form
    307,802/659,398 = 659,398/x
  3. Step 3: Cross multiply
    307,802x = 659,398 × 659,398
  4. Step 4: Simplify right side
    307,802x = 434,805,722,404
  5. Step 5: Solve for x
    x = 434,805,722,404/307,802
  6. Step 6: Final answer
    x = 1,412,615.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.