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Finding the Third Proportional to 272,016 and 587,826

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Solution

The third proportional to 272,016 and 587,826 is: 1,270,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,016 : 587,826 = 587,826 : x
  2. Step 2: Convert to fraction form
    272,016/587,826 = 587,826/x
  3. Step 3: Cross multiply
    272,016x = 587,826 × 587,826
  4. Step 4: Simplify right side
    272,016x = 345,539,406,276
  5. Step 5: Solve for x
    x = 345,539,406,276/272,016
  6. Step 6: Final answer
    x = 1,270,290.74

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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.