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Finding the Third Proportional to 441,428 and 683,376

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Solution

The third proportional to 441,428 and 683,376 is: 1,057,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,428 : 683,376 = 683,376 : x
  2. Step 2: Convert to fraction form
    441,428/683,376 = 683,376/x
  3. Step 3: Cross multiply
    441,428x = 683,376 × 683,376
  4. Step 4: Simplify right side
    441,428x = 467,002,757,376
  5. Step 5: Solve for x
    x = 467,002,757,376/441,428
  6. Step 6: Final answer
    x = 1,057,936.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.