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Finding the Third Proportional to 251,297 and 541,957

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Solution

The third proportional to 251,297 and 541,957 is: 1,168,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,297 : 541,957 = 541,957 : x
  2. Step 2: Convert to fraction form
    251,297/541,957 = 541,957/x
  3. Step 3: Cross multiply
    251,297x = 541,957 × 541,957
  4. Step 4: Simplify right side
    251,297x = 293,717,389,849
  5. Step 5: Solve for x
    x = 293,717,389,849/251,297
  6. Step 6: Final answer
    x = 1,168,805.79

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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.