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Finding the Third Proportional to 610.88 and 858.23

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Solution

The third proportional to 610.88 and 858.23 is: 1,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 858.23 = 858.23 : x
  2. Step 2: Convert to fraction form
    610.88/858.23 = 858.23/x
  3. Step 3: Cross multiply
    610.88x = 858.23 × 858.23
  4. Step 4: Simplify right side
    610.88x = 736,566.24
  5. Step 5: Solve for x
    x = 736,566.24/610.88
  6. Step 6: Final answer
    x = 1,205.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.