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Finding the Third Proportional to 327,750.75 and 472,246.88

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Solution

The third proportional to 327,750.75 and 472,246.88 is: 680,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,750.75 : 472,246.88 = 472,246.88 : x
  2. Step 2: Convert to fraction form
    327,750.75/472,246.88 = 472,246.88/x
  3. Step 3: Cross multiply
    327,750.75x = 472,246.88 × 472,246.88
  4. Step 4: Simplify right side
    327,750.75x = 223,017,110,947.27
  5. Step 5: Solve for x
    x = 223,017,110,947.27/327,750.75
  6. Step 6: Final answer
    x = 680,447.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.