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Finding the Third Proportional to 329,788 and 496,122

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Solution

The third proportional to 329,788 and 496,122 is: 746,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,788 : 496,122 = 496,122 : x
  2. Step 2: Convert to fraction form
    329,788/496,122 = 496,122/x
  3. Step 3: Cross multiply
    329,788x = 496,122 × 496,122
  4. Step 4: Simplify right side
    329,788x = 246,137,038,884
  5. Step 5: Solve for x
    x = 246,137,038,884/329,788
  6. Step 6: Final answer
    x = 746,349.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.