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Finding the Third Proportional to 332,110 and 502,098

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Solution

The third proportional to 332,110 and 502,098 is: 759,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,110 : 502,098 = 502,098 : x
  2. Step 2: Convert to fraction form
    332,110/502,098 = 502,098/x
  3. Step 3: Cross multiply
    332,110x = 502,098 × 502,098
  4. Step 4: Simplify right side
    332,110x = 252,102,401,604
  5. Step 5: Solve for x
    x = 252,102,401,604/332,110
  6. Step 6: Final answer
    x = 759,093.08

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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.