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Finding the Third Proportional to 332,240 and 498,256

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Solution

The third proportional to 332,240 and 498,256 is: 747,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,240 : 498,256 = 498,256 : x
  2. Step 2: Convert to fraction form
    332,240/498,256 = 498,256/x
  3. Step 3: Cross multiply
    332,240x = 498,256 × 498,256
  4. Step 4: Simplify right side
    332,240x = 248,259,041,536
  5. Step 5: Solve for x
    x = 248,259,041,536/332,240
  6. Step 6: Final answer
    x = 747,228.03

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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.