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Finding the Third Proportional to 252,561 and 552,624

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Solution

The third proportional to 252,561 and 552,624 is: 1,209,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,561 : 552,624 = 552,624 : x
  2. Step 2: Convert to fraction form
    252,561/552,624 = 552,624/x
  3. Step 3: Cross multiply
    252,561x = 552,624 × 552,624
  4. Step 4: Simplify right side
    252,561x = 305,393,285,376
  5. Step 5: Solve for x
    x = 305,393,285,376/252,561
  6. Step 6: Final answer
    x = 1,209,186.24

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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.