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Finding the Third Proportional to 610.13 and 970.69

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Solution

The third proportional to 610.13 and 970.69 is: 1,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.13 : 970.69 = 970.69 : x
  2. Step 2: Convert to fraction form
    610.13/970.69 = 970.69/x
  3. Step 3: Cross multiply
    610.13x = 970.69 × 970.69
  4. Step 4: Simplify right side
    610.13x = 942,234.22
  5. Step 5: Solve for x
    x = 942,234.22/610.13
  6. Step 6: Final answer
    x = 1,544.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.