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Finding the Third Proportional to 272,022 and 587,838

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Solution

The third proportional to 272,022 and 587,838 is: 1,270,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,022 : 587,838 = 587,838 : x
  2. Step 2: Convert to fraction form
    272,022/587,838 = 587,838/x
  3. Step 3: Cross multiply
    272,022x = 587,838 × 587,838
  4. Step 4: Simplify right side
    272,022x = 345,553,514,244
  5. Step 5: Solve for x
    x = 345,553,514,244/272,022
  6. Step 6: Final answer
    x = 1,270,314.59

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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.