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Finding the Third Proportional to 386.25 and 584.25

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Solution

The third proportional to 386.25 and 584.25 is: 883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.25 : 584.25 = 584.25 : x
  2. Step 2: Convert to fraction form
    386.25/584.25 = 584.25/x
  3. Step 3: Cross multiply
    386.25x = 584.25 × 584.25
  4. Step 4: Simplify right side
    386.25x = 341,348.06
  5. Step 5: Solve for x
    x = 341,348.06/386.25
  6. Step 6: Final answer
    x = 883.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.