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Finding the Third Proportional to 332,037 and 498,384

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Solution

The third proportional to 332,037 and 498,384 is: 748,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,037 : 498,384 = 498,384 : x
  2. Step 2: Convert to fraction form
    332,037/498,384 = 498,384/x
  3. Step 3: Cross multiply
    332,037x = 498,384 × 498,384
  4. Step 4: Simplify right side
    332,037x = 248,386,611,456
  5. Step 5: Solve for x
    x = 248,386,611,456/332,037
  6. Step 6: Final answer
    x = 748,069.08

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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.