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Finding the Third Proportional to 566.68 and 857.14

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Solution

The third proportional to 566.68 and 857.14 is: 1,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.68 : 857.14 = 857.14 : x
  2. Step 2: Convert to fraction form
    566.68/857.14 = 857.14/x
  3. Step 3: Cross multiply
    566.68x = 857.14 × 857.14
  4. Step 4: Simplify right side
    566.68x = 734,696.75
  5. Step 5: Solve for x
    x = 734,696.75/566.68
  6. Step 6: Final answer
    x = 1,296.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.