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Finding the Third Proportional to 332,096 and 466,002

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Solution

The third proportional to 332,096 and 466,002 is: 653,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,096 : 466,002 = 466,002 : x
  2. Step 2: Convert to fraction form
    332,096/466,002 = 466,002/x
  3. Step 3: Cross multiply
    332,096x = 466,002 × 466,002
  4. Step 4: Simplify right side
    332,096x = 217,157,864,004
  5. Step 5: Solve for x
    x = 217,157,864,004/332,096
  6. Step 6: Final answer
    x = 653,900.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.