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Finding the Third Proportional to 416.25 and 771.75

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Solution

The third proportional to 416.25 and 771.75 is: 1,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 771.75 = 771.75 : x
  2. Step 2: Convert to fraction form
    416.25/771.75 = 771.75/x
  3. Step 3: Cross multiply
    416.25x = 771.75 × 771.75
  4. Step 4: Simplify right side
    416.25x = 595,598.06
  5. Step 5: Solve for x
    x = 595,598.06/416.25
  6. Step 6: Final answer
    x = 1,430.87

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.