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Finding the Third Proportional to 342,211.50 and 495,672.75

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Solution

The third proportional to 342,211.50 and 495,672.75 is: 717,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,211.50 : 495,672.75 = 495,672.75 : x
  2. Step 2: Convert to fraction form
    342,211.50/495,672.75 = 495,672.75/x
  3. Step 3: Cross multiply
    342,211.50x = 495,672.75 × 495,672.75
  4. Step 4: Simplify right side
    342,211.50x = 245,691,475,092.56
  5. Step 5: Solve for x
    x = 245,691,475,092.56/342,211.50
  6. Step 6: Final answer
    x = 717,952.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.