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Finding the Third Proportional to 313,242.75 and 477,207.75

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Solution

The third proportional to 313,242.75 and 477,207.75 is: 726,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,242.75 : 477,207.75 = 477,207.75 : x
  2. Step 2: Convert to fraction form
    313,242.75/477,207.75 = 477,207.75/x
  3. Step 3: Cross multiply
    313,242.75x = 477,207.75 × 477,207.75
  4. Step 4: Simplify right side
    313,242.75x = 227,727,236,660.06
  5. Step 5: Solve for x
    x = 227,727,236,660.06/313,242.75
  6. Step 6: Final answer
    x = 726,999.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.