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Finding the Third Proportional to 293,694 and 641,314

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Solution

The third proportional to 293,694 and 641,314 is: 1,400,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,694 : 641,314 = 641,314 : x
  2. Step 2: Convert to fraction form
    293,694/641,314 = 641,314/x
  3. Step 3: Cross multiply
    293,694x = 641,314 × 641,314
  4. Step 4: Simplify right side
    293,694x = 411,283,646,596
  5. Step 5: Solve for x
    x = 411,283,646,596/293,694
  6. Step 6: Final answer
    x = 1,400,381.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.