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Finding the Third Proportional to 329,156 and 498,350

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Solution

The third proportional to 329,156 and 498,350 is: 754,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,156 : 498,350 = 498,350 : x
  2. Step 2: Convert to fraction form
    329,156/498,350 = 498,350/x
  3. Step 3: Cross multiply
    329,156x = 498,350 × 498,350
  4. Step 4: Simplify right side
    329,156x = 248,352,722,500
  5. Step 5: Solve for x
    x = 248,352,722,500/329,156
  6. Step 6: Final answer
    x = 754,513.73

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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.