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Finding the Third Proportional to 267,716 and 582,072

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Solution

The third proportional to 267,716 and 582,072 is: 1,265,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,716 : 582,072 = 582,072 : x
  2. Step 2: Convert to fraction form
    267,716/582,072 = 582,072/x
  3. Step 3: Cross multiply
    267,716x = 582,072 × 582,072
  4. Step 4: Simplify right side
    267,716x = 338,807,813,184
  5. Step 5: Solve for x
    x = 338,807,813,184/267,716
  6. Step 6: Final answer
    x = 1,265,549.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.