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Finding the Third Proportional to 328,961.25 and 495,871.88

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Solution

The third proportional to 328,961.25 and 495,871.88 is: 747,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,961.25 : 495,871.88 = 495,871.88 : x
  2. Step 2: Convert to fraction form
    328,961.25/495,871.88 = 495,871.88/x
  3. Step 3: Cross multiply
    328,961.25x = 495,871.88 × 495,871.88
  4. Step 4: Simplify right side
    328,961.25x = 245,888,916,416.02
  5. Step 5: Solve for x
    x = 245,888,916,416.02/328,961.25
  6. Step 6: Final answer
    x = 747,470.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.