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Finding the Third Proportional to 270,057 and 587,743

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Solution

The third proportional to 270,057 and 587,743 is: 1,279,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,057 : 587,743 = 587,743 : x
  2. Step 2: Convert to fraction form
    270,057/587,743 = 587,743/x
  3. Step 3: Cross multiply
    270,057x = 587,743 × 587,743
  4. Step 4: Simplify right side
    270,057x = 345,441,834,049
  5. Step 5: Solve for x
    x = 345,441,834,049/270,057
  6. Step 6: Final answer
    x = 1,279,144.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.