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Finding the Third Proportional to 267,480 and 582,908

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Solution

The third proportional to 267,480 and 582,908 is: 1,270,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,480 : 582,908 = 582,908 : x
  2. Step 2: Convert to fraction form
    267,480/582,908 = 582,908/x
  3. Step 3: Cross multiply
    267,480x = 582,908 × 582,908
  4. Step 4: Simplify right side
    267,480x = 339,781,736,464
  5. Step 5: Solve for x
    x = 339,781,736,464/267,480
  6. Step 6: Final answer
    x = 1,270,307.08

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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.