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Finding the Third Proportional to 268,958 and 585,226

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Solution

The third proportional to 268,958 and 585,226 is: 1,273,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,958 : 585,226 = 585,226 : x
  2. Step 2: Convert to fraction form
    268,958/585,226 = 585,226/x
  3. Step 3: Cross multiply
    268,958x = 585,226 × 585,226
  4. Step 4: Simplify right side
    268,958x = 342,489,471,076
  5. Step 5: Solve for x
    x = 342,489,471,076/268,958
  6. Step 6: Final answer
    x = 1,273,393.88

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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.