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Finding the Third Proportional to 252,675 and 552,870

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Solution

The third proportional to 252,675 and 552,870 is: 1,209,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,675 : 552,870 = 552,870 : x
  2. Step 2: Convert to fraction form
    252,675/552,870 = 552,870/x
  3. Step 3: Cross multiply
    252,675x = 552,870 × 552,870
  4. Step 4: Simplify right side
    252,675x = 305,665,236,900
  5. Step 5: Solve for x
    x = 305,665,236,900/252,675
  6. Step 6: Final answer
    x = 1,209,716.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.