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Finding the Third Proportional to 329,287 and 496,527

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Solution

The third proportional to 329,287 and 496,527 is: 748,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,287 : 496,527 = 496,527 : x
  2. Step 2: Convert to fraction form
    329,287/496,527 = 496,527/x
  3. Step 3: Cross multiply
    329,287x = 496,527 × 496,527
  4. Step 4: Simplify right side
    329,287x = 246,539,061,729
  5. Step 5: Solve for x
    x = 246,539,061,729/329,287
  6. Step 6: Final answer
    x = 748,705.72

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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.