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Finding the Third Proportional to 252,469 and 552,446

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Solution

The third proportional to 252,469 and 552,446 is: 1,208,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,469 : 552,446 = 552,446 : x
  2. Step 2: Convert to fraction form
    252,469/552,446 = 552,446/x
  3. Step 3: Cross multiply
    252,469x = 552,446 × 552,446
  4. Step 4: Simplify right side
    252,469x = 305,196,582,916
  5. Step 5: Solve for x
    x = 305,196,582,916/252,469
  6. Step 6: Final answer
    x = 1,208,847.75

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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.