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Finding the Third Proportional to 329,285 and 496,524

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Solution

The third proportional to 329,285 and 496,524 is: 748,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,285 : 496,524 = 496,524 : x
  2. Step 2: Convert to fraction form
    329,285/496,524 = 496,524/x
  3. Step 3: Cross multiply
    329,285x = 496,524 × 496,524
  4. Step 4: Simplify right side
    329,285x = 246,536,082,576
  5. Step 5: Solve for x
    x = 246,536,082,576/329,285
  6. Step 6: Final answer
    x = 748,701.22

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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.