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Finding the Third Proportional to 774.75 and 1,052.75

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Solution

The third proportional to 774.75 and 1,052.75 is: 1,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.75 : 1,052.75 = 1,052.75 : x
  2. Step 2: Convert to fraction form
    774.75/1,052.75 = 1,052.75/x
  3. Step 3: Cross multiply
    774.75x = 1,052.75 × 1,052.75
  4. Step 4: Simplify right side
    774.75x = 1,108,282.56
  5. Step 5: Solve for x
    x = 1,108,282.56/774.75
  6. Step 6: Final answer
    x = 1,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.