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Finding the Third Proportional to 442,512 and 683,376

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Solution

The third proportional to 442,512 and 683,376 is: 1,055,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,512 : 683,376 = 683,376 : x
  2. Step 2: Convert to fraction form
    442,512/683,376 = 683,376/x
  3. Step 3: Cross multiply
    442,512x = 683,376 × 683,376
  4. Step 4: Simplify right side
    442,512x = 467,002,757,376
  5. Step 5: Solve for x
    x = 467,002,757,376/442,512
  6. Step 6: Final answer
    x = 1,055,344.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.