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Finding the Third Proportional to 252,704 and 552,884

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Solution

The third proportional to 252,704 and 552,884 is: 1,209,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,704 : 552,884 = 552,884 : x
  2. Step 2: Convert to fraction form
    252,704/552,884 = 552,884/x
  3. Step 3: Cross multiply
    252,704x = 552,884 × 552,884
  4. Step 4: Simplify right side
    252,704x = 305,680,717,456
  5. Step 5: Solve for x
    x = 305,680,717,456/252,704
  6. Step 6: Final answer
    x = 1,209,639.41

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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.