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Finding the Third Proportional to 252,451 and 552,287

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Solution

The third proportional to 252,451 and 552,287 is: 1,208,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,451 : 552,287 = 552,287 : x
  2. Step 2: Convert to fraction form
    252,451/552,287 = 552,287/x
  3. Step 3: Cross multiply
    252,451x = 552,287 × 552,287
  4. Step 4: Simplify right side
    252,451x = 305,020,930,369
  5. Step 5: Solve for x
    x = 305,020,930,369/252,451
  6. Step 6: Final answer
    x = 1,208,238.15

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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.