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Finding the Third Proportional to 276,466 and 582,437

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Solution

The third proportional to 276,466 and 582,437 is: 1,227,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,466 : 582,437 = 582,437 : x
  2. Step 2: Convert to fraction form
    276,466/582,437 = 582,437/x
  3. Step 3: Cross multiply
    276,466x = 582,437 × 582,437
  4. Step 4: Simplify right side
    276,466x = 339,232,858,969
  5. Step 5: Solve for x
    x = 339,232,858,969/276,466
  6. Step 6: Final answer
    x = 1,227,032.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.