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Finding the Third Proportional to 252,511 and 552,529

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Solution

The third proportional to 252,511 and 552,529 is: 1,209,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,511 : 552,529 = 552,529 : x
  2. Step 2: Convert to fraction form
    252,511/552,529 = 552,529/x
  3. Step 3: Cross multiply
    252,511x = 552,529 × 552,529
  4. Step 4: Simplify right side
    252,511x = 305,288,295,841
  5. Step 5: Solve for x
    x = 305,288,295,841/252,511
  6. Step 6: Final answer
    x = 1,209,009.89

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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.