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Finding the Third Proportional to 272,314 and 582,020

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Solution

The third proportional to 272,314 and 582,020 is: 1,243,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,314 : 582,020 = 582,020 : x
  2. Step 2: Convert to fraction form
    272,314/582,020 = 582,020/x
  3. Step 3: Cross multiply
    272,314x = 582,020 × 582,020
  4. Step 4: Simplify right side
    272,314x = 338,747,280,400
  5. Step 5: Solve for x
    x = 338,747,280,400/272,314
  6. Step 6: Final answer
    x = 1,243,958.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.