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Finding the Third Proportional to 252,866 and 379,971

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Solution

The third proportional to 252,866 and 379,971 is: 570,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,866 : 379,971 = 379,971 : x
  2. Step 2: Convert to fraction form
    252,866/379,971 = 379,971/x
  3. Step 3: Cross multiply
    252,866x = 379,971 × 379,971
  4. Step 4: Simplify right side
    252,866x = 144,377,960,841
  5. Step 5: Solve for x
    x = 144,377,960,841/252,866
  6. Step 6: Final answer
    x = 570,966.29

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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.