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Finding the Third Proportional to 332,376 and 466,380

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Solution

The third proportional to 332,376 and 466,380 is: 654,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,376 : 466,380 = 466,380 : x
  2. Step 2: Convert to fraction form
    332,376/466,380 = 466,380/x
  3. Step 3: Cross multiply
    332,376x = 466,380 × 466,380
  4. Step 4: Simplify right side
    332,376x = 217,510,304,400
  5. Step 5: Solve for x
    x = 217,510,304,400/332,376
  6. Step 6: Final answer
    x = 654,410.38

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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.