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Finding the Third Proportional to 507.25 and 774.50

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Solution

The third proportional to 507.25 and 774.50 is: 1,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.25 : 774.50 = 774.50 : x
  2. Step 2: Convert to fraction form
    507.25/774.50 = 774.50/x
  3. Step 3: Cross multiply
    507.25x = 774.50 × 774.50
  4. Step 4: Simplify right side
    507.25x = 599,850.25
  5. Step 5: Solve for x
    x = 599,850.25/507.25
  6. Step 6: Final answer
    x = 1,182.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.