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Finding the Third Proportional to 483 and 781.50

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Solution

The third proportional to 483 and 781.50 is: 1,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483 : 781.50 = 781.50 : x
  2. Step 2: Convert to fraction form
    483/781.50 = 781.50/x
  3. Step 3: Cross multiply
    483x = 781.50 × 781.50
  4. Step 4: Simplify right side
    483x = 610,742.25
  5. Step 5: Solve for x
    x = 610,742.25/483
  6. Step 6: Final answer
    x = 1,264.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.