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Finding the Third Proportional to 553 and 774.75

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Solution

The third proportional to 553 and 774.75 is: 1,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553 : 774.75 = 774.75 : x
  2. Step 2: Convert to fraction form
    553/774.75 = 774.75/x
  3. Step 3: Cross multiply
    553x = 774.75 × 774.75
  4. Step 4: Simplify right side
    553x = 600,237.56
  5. Step 5: Solve for x
    x = 600,237.56/553
  6. Step 6: Final answer
    x = 1,085.42

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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.