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Finding the Third Proportional to 571.50 and 708.38

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Solution

The third proportional to 571.50 and 708.38 is: 878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 708.38 = 708.38 : x
  2. Step 2: Convert to fraction form
    571.50/708.38 = 708.38/x
  3. Step 3: Cross multiply
    571.50x = 708.38 × 708.38
  4. Step 4: Simplify right side
    571.50x = 501,795.14
  5. Step 5: Solve for x
    x = 501,795.14/571.50
  6. Step 6: Final answer
    x = 878.03

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.