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Finding the Third Proportional to 332,237 and 498,253

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Solution

The third proportional to 332,237 and 498,253 is: 747,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,237 : 498,253 = 498,253 : x
  2. Step 2: Convert to fraction form
    332,237/498,253 = 498,253/x
  3. Step 3: Cross multiply
    332,237x = 498,253 × 498,253
  4. Step 4: Simplify right side
    332,237x = 248,256,052,009
  5. Step 5: Solve for x
    x = 248,256,052,009/332,237
  6. Step 6: Final answer
    x = 747,225.78

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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.