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Finding the Third Proportional to 268,254 and 582,642

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Solution

The third proportional to 268,254 and 582,642 is: 1,265,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,254 : 582,642 = 582,642 : x
  2. Step 2: Convert to fraction form
    268,254/582,642 = 582,642/x
  3. Step 3: Cross multiply
    268,254x = 582,642 × 582,642
  4. Step 4: Simplify right side
    268,254x = 339,471,700,164
  5. Step 5: Solve for x
    x = 339,471,700,164/268,254
  6. Step 6: Final answer
    x = 1,265,486.07

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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.