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Finding the Third Proportional to 329,034 and 495,983

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Solution

The third proportional to 329,034 and 495,983 is: 747,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,034 : 495,983 = 495,983 : x
  2. Step 2: Convert to fraction form
    329,034/495,983 = 495,983/x
  3. Step 3: Cross multiply
    329,034x = 495,983 × 495,983
  4. Step 4: Simplify right side
    329,034x = 245,999,136,289
  5. Step 5: Solve for x
    x = 245,999,136,289/329,034
  6. Step 6: Final answer
    x = 747,640.48

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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.