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Finding the Third Proportional to 770.75 and 1,126.75

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Solution

The third proportional to 770.75 and 1,126.75 is: 1,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.75 : 1,126.75 = 1,126.75 : x
  2. Step 2: Convert to fraction form
    770.75/1,126.75 = 1,126.75/x
  3. Step 3: Cross multiply
    770.75x = 1,126.75 × 1,126.75
  4. Step 4: Simplify right side
    770.75x = 1,269,565.56
  5. Step 5: Solve for x
    x = 1,269,565.56/770.75
  6. Step 6: Final answer
    x = 1,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.