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Finding the Third Proportional to 268,736 and 585,856

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Solution

The third proportional to 268,736 and 585,856 is: 1,277,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,736 : 585,856 = 585,856 : x
  2. Step 2: Convert to fraction form
    268,736/585,856 = 585,856/x
  3. Step 3: Cross multiply
    268,736x = 585,856 × 585,856
  4. Step 4: Simplify right side
    268,736x = 343,227,252,736
  5. Step 5: Solve for x
    x = 343,227,252,736/268,736
  6. Step 6: Final answer
    x = 1,277,191.19

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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.