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Finding the Third Proportional to 270,200 and 587,968

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Solution

The third proportional to 270,200 and 587,968 is: 1,279,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,200 : 587,968 = 587,968 : x
  2. Step 2: Convert to fraction form
    270,200/587,968 = 587,968/x
  3. Step 3: Cross multiply
    270,200x = 587,968 × 587,968
  4. Step 4: Simplify right side
    270,200x = 345,706,369,024
  5. Step 5: Solve for x
    x = 345,706,369,024/270,200
  6. Step 6: Final answer
    x = 1,279,446.22

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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.