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Finding the Third Proportional to 270,058 and 581,672

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Solution

The third proportional to 270,058 and 581,672 is: 1,252,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,058 : 581,672 = 581,672 : x
  2. Step 2: Convert to fraction form
    270,058/581,672 = 581,672/x
  3. Step 3: Cross multiply
    270,058x = 581,672 × 581,672
  4. Step 4: Simplify right side
    270,058x = 338,342,315,584
  5. Step 5: Solve for x
    x = 338,342,315,584/270,058
  6. Step 6: Final answer
    x = 1,252,850.56

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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.