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Finding the Third Proportional to 441,442 and 683,398

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Solution

The third proportional to 441,442 and 683,398 is: 1,057,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,442 : 683,398 = 683,398 : x
  2. Step 2: Convert to fraction form
    441,442/683,398 = 683,398/x
  3. Step 3: Cross multiply
    441,442x = 683,398 × 683,398
  4. Step 4: Simplify right side
    441,442x = 467,032,826,404
  5. Step 5: Solve for x
    x = 467,032,826,404/441,442
  6. Step 6: Final answer
    x = 1,057,970.98

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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.