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Finding the Third Proportional to 329,299 and 496,543

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Solution

The third proportional to 329,299 and 496,543 is: 748,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,299 : 496,543 = 496,543 : x
  2. Step 2: Convert to fraction form
    329,299/496,543 = 496,543/x
  3. Step 3: Cross multiply
    329,299x = 496,543 × 496,543
  4. Step 4: Simplify right side
    329,299x = 246,554,950,849
  5. Step 5: Solve for x
    x = 246,554,950,849/329,299
  6. Step 6: Final answer
    x = 748,726.69

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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.