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Finding the Third Proportional to 252,508 and 552,523

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Solution

The third proportional to 252,508 and 552,523 is: 1,208,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,508 : 552,523 = 552,523 : x
  2. Step 2: Convert to fraction form
    252,508/552,523 = 552,523/x
  3. Step 3: Cross multiply
    252,508x = 552,523 × 552,523
  4. Step 4: Simplify right side
    252,508x = 305,281,665,529
  5. Step 5: Solve for x
    x = 305,281,665,529/252,508
  6. Step 6: Final answer
    x = 1,208,997.99

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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.