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Finding the Third Proportional to 416.25 and 779.63

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Solution

The third proportional to 416.25 and 779.63 is: 1,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 779.63 = 779.63 : x
  2. Step 2: Convert to fraction form
    416.25/779.63 = 779.63/x
  3. Step 3: Cross multiply
    416.25x = 779.63 × 779.63
  4. Step 4: Simplify right side
    416.25x = 607,815.14
  5. Step 5: Solve for x
    x = 607,815.14/416.25
  6. Step 6: Final answer
    x = 1,460.22

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.