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Finding the Third Proportional to 568.13 and 857.81

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Solution

The third proportional to 568.13 and 857.81 is: 1,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.13 : 857.81 = 857.81 : x
  2. Step 2: Convert to fraction form
    568.13/857.81 = 857.81/x
  3. Step 3: Cross multiply
    568.13x = 857.81 × 857.81
  4. Step 4: Simplify right side
    568.13x = 735,842.29
  5. Step 5: Solve for x
    x = 735,842.29/568.13
  6. Step 6: Final answer
    x = 1,295.21

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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.