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Finding the Third Proportional to 329,282 and 496,520

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Solution

The third proportional to 329,282 and 496,520 is: 748,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,282 : 496,520 = 496,520 : x
  2. Step 2: Convert to fraction form
    329,282/496,520 = 496,520/x
  3. Step 3: Cross multiply
    329,282x = 496,520 × 496,520
  4. Step 4: Simplify right side
    329,282x = 246,532,110,400
  5. Step 5: Solve for x
    x = 246,532,110,400/329,282
  6. Step 6: Final answer
    x = 748,695.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.