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Finding the Third Proportional to 332,048 and 498,412

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Solution

The third proportional to 332,048 and 498,412 is: 748,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,048 : 498,412 = 498,412 : x
  2. Step 2: Convert to fraction form
    332,048/498,412 = 498,412/x
  3. Step 3: Cross multiply
    332,048x = 498,412 × 498,412
  4. Step 4: Simplify right side
    332,048x = 248,414,521,744
  5. Step 5: Solve for x
    x = 248,414,521,744/332,048
  6. Step 6: Final answer
    x = 748,128.35

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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.