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Finding the Third Proportional to 251,066 and 541,552

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Solution

The third proportional to 251,066 and 541,552 is: 1,168,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,066 : 541,552 = 541,552 : x
  2. Step 2: Convert to fraction form
    251,066/541,552 = 541,552/x
  3. Step 3: Cross multiply
    251,066x = 541,552 × 541,552
  4. Step 4: Simplify right side
    251,066x = 293,278,568,704
  5. Step 5: Solve for x
    x = 293,278,568,704/251,066
  6. Step 6: Final answer
    x = 1,168,133.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.