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Finding the Third Proportional to 332,244 and 498,261

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Solution

The third proportional to 332,244 and 498,261 is: 747,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,244 : 498,261 = 498,261 : x
  2. Step 2: Convert to fraction form
    332,244/498,261 = 498,261/x
  3. Step 3: Cross multiply
    332,244x = 498,261 × 498,261
  4. Step 4: Simplify right side
    332,244x = 248,264,024,121
  5. Step 5: Solve for x
    x = 248,264,024,121/332,244
  6. Step 6: Final answer
    x = 747,234.03

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Why These Related Problems?

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