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Finding the Third Proportional to 329,000 and 495,928

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Solution

The third proportional to 329,000 and 495,928 is: 747,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000 : 495,928 = 495,928 : x
  2. Step 2: Convert to fraction form
    329,000/495,928 = 495,928/x
  3. Step 3: Cross multiply
    329,000x = 495,928 × 495,928
  4. Step 4: Simplify right side
    329,000x = 245,944,581,184
  5. Step 5: Solve for x
    x = 245,944,581,184/329,000
  6. Step 6: Final answer
    x = 747,551.92

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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.