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Finding the Third Proportional to 566 and 1,244

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Solution

The third proportional to 566 and 1,244 is: 2,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566 : 1,244 = 1,244 : x
  2. Step 2: Convert to fraction form
    566/1,244 = 1,244/x
  3. Step 3: Cross multiply
    566x = 1,244 × 1,244
  4. Step 4: Simplify right side
    566x = 1,547,536
  5. Step 5: Solve for x
    x = 1,547,536/566
  6. Step 6: Final answer
    x = 2,734.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.