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Finding the Third Proportional to 332,248 and 498,272

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Solution

The third proportional to 332,248 and 498,272 is: 747,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,248 : 498,272 = 498,272 : x
  2. Step 2: Convert to fraction form
    332,248/498,272 = 498,272/x
  3. Step 3: Cross multiply
    332,248x = 498,272 × 498,272
  4. Step 4: Simplify right side
    332,248x = 248,274,985,984
  5. Step 5: Solve for x
    x = 248,274,985,984/332,248
  6. Step 6: Final answer
    x = 747,258.03

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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.