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Finding the Third Proportional to 571.97 and 897.94

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Solution

The third proportional to 571.97 and 897.94 is: 1,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.97 : 897.94 = 897.94 : x
  2. Step 2: Convert to fraction form
    571.97/897.94 = 897.94/x
  3. Step 3: Cross multiply
    571.97x = 897.94 × 897.94
  4. Step 4: Simplify right side
    571.97x = 806,291.75
  5. Step 5: Solve for x
    x = 806,291.75/571.97
  6. Step 6: Final answer
    x = 1,409.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.