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Finding the Third Proportional to 252,505 and 552,521

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Solution

The third proportional to 252,505 and 552,521 is: 1,209,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,505 : 552,521 = 552,521 : x
  2. Step 2: Convert to fraction form
    252,505/552,521 = 552,521/x
  3. Step 3: Cross multiply
    252,505x = 552,521 × 552,521
  4. Step 4: Simplify right side
    252,505x = 305,279,455,441
  5. Step 5: Solve for x
    x = 305,279,455,441/252,505
  6. Step 6: Final answer
    x = 1,209,003.61

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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.