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Finding the Third Proportional to 268,422.75 and 584,079.75

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Solution

The third proportional to 268,422.75 and 584,079.75 is: 1,270,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,422.75 : 584,079.75 = 584,079.75 : x
  2. Step 2: Convert to fraction form
    268,422.75/584,079.75 = 584,079.75/x
  3. Step 3: Cross multiply
    268,422.75x = 584,079.75 × 584,079.75
  4. Step 4: Simplify right side
    268,422.75x = 341,149,154,360.06
  5. Step 5: Solve for x
    x = 341,149,154,360.06/268,422.75
  6. Step 6: Final answer
    x = 1,270,939.79

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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.