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Finding the Third Proportional to 571.75 and 857.46

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Solution

The third proportional to 571.75 and 857.46 is: 1,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.75 : 857.46 = 857.46 : x
  2. Step 2: Convert to fraction form
    571.75/857.46 = 857.46/x
  3. Step 3: Cross multiply
    571.75x = 857.46 × 857.46
  4. Step 4: Simplify right side
    571.75x = 735,239.26
  5. Step 5: Solve for x
    x = 735,239.26/571.75
  6. Step 6: Final answer
    x = 1,285.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.