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Finding the Third Proportional to 332,242 and 498,258

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Solution

The third proportional to 332,242 and 498,258 is: 747,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,242 : 498,258 = 498,258 : x
  2. Step 2: Convert to fraction form
    332,242/498,258 = 498,258/x
  3. Step 3: Cross multiply
    332,242x = 498,258 × 498,258
  4. Step 4: Simplify right side
    332,242x = 248,261,034,564
  5. Step 5: Solve for x
    x = 248,261,034,564/332,242
  6. Step 6: Final answer
    x = 747,229.53

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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.