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Finding the Third Proportional to 332,245 and 498,263

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Solution

The third proportional to 332,245 and 498,263 is: 747,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,245 : 498,263 = 498,263 : x
  2. Step 2: Convert to fraction form
    332,245/498,263 = 498,263/x
  3. Step 3: Cross multiply
    332,245x = 498,263 × 498,263
  4. Step 4: Simplify right side
    332,245x = 248,266,017,169
  5. Step 5: Solve for x
    x = 248,266,017,169/332,245
  6. Step 6: Final answer
    x = 747,237.78

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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.