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Finding the Third Proportional to 253,662 and 379,701

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Solution

The third proportional to 253,662 and 379,701 is: 568,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,662 : 379,701 = 379,701 : x
  2. Step 2: Convert to fraction form
    253,662/379,701 = 379,701/x
  3. Step 3: Cross multiply
    253,662x = 379,701 × 379,701
  4. Step 4: Simplify right side
    253,662x = 144,172,849,401
  5. Step 5: Solve for x
    x = 144,172,849,401/253,662
  6. Step 6: Final answer
    x = 568,365.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.