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Finding the Third Proportional to 436,614 and 694,287

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Solution

The third proportional to 436,614 and 694,287 is: 1,104,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,614 : 694,287 = 694,287 : x
  2. Step 2: Convert to fraction form
    436,614/694,287 = 694,287/x
  3. Step 3: Cross multiply
    436,614x = 694,287 × 694,287
  4. Step 4: Simplify right side
    436,614x = 482,034,438,369
  5. Step 5: Solve for x
    x = 482,034,438,369/436,614
  6. Step 6: Final answer
    x = 1,104,028.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.