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Finding the Third Proportional to 332,246 and 498,269

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Solution

The third proportional to 332,246 and 498,269 is: 747,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,246 : 498,269 = 498,269 : x
  2. Step 2: Convert to fraction form
    332,246/498,269 = 498,269/x
  3. Step 3: Cross multiply
    332,246x = 498,269 × 498,269
  4. Step 4: Simplify right side
    332,246x = 248,271,996,361
  5. Step 5: Solve for x
    x = 248,271,996,361/332,246
  6. Step 6: Final answer
    x = 747,253.53

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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.