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Finding the Third Proportional to 329,048 and 496,000

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Solution

The third proportional to 329,048 and 496,000 is: 747,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,048 : 496,000 = 496,000 : x
  2. Step 2: Convert to fraction form
    329,048/496,000 = 496,000/x
  3. Step 3: Cross multiply
    329,048x = 496,000 × 496,000
  4. Step 4: Simplify right side
    329,048x = 246,016,000,000
  5. Step 5: Solve for x
    x = 246,016,000,000/329,048
  6. Step 6: Final answer
    x = 747,659.92

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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.