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Finding the Third Proportional to 770.50 and 974.75

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Solution

The third proportional to 770.50 and 974.75 is: 1,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.50 : 974.75 = 974.75 : x
  2. Step 2: Convert to fraction form
    770.50/974.75 = 974.75/x
  3. Step 3: Cross multiply
    770.50x = 974.75 × 974.75
  4. Step 4: Simplify right side
    770.50x = 950,137.56
  5. Step 5: Solve for x
    x = 950,137.56/770.50
  6. Step 6: Final answer
    x = 1,233.14

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.