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Finding the Third Proportional to 272,898 and 587,268

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Solution

The third proportional to 272,898 and 587,268 is: 1,263,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,898 : 587,268 = 587,268 : x
  2. Step 2: Convert to fraction form
    272,898/587,268 = 587,268/x
  3. Step 3: Cross multiply
    272,898x = 587,268 × 587,268
  4. Step 4: Simplify right side
    272,898x = 344,883,703,824
  5. Step 5: Solve for x
    x = 344,883,703,824/272,898
  6. Step 6: Final answer
    x = 1,263,782.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.