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Finding the Third Proportional to 385.75 and 848.75

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Solution

The third proportional to 385.75 and 848.75 is: 1,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.75 : 848.75 = 848.75 : x
  2. Step 2: Convert to fraction form
    385.75/848.75 = 848.75/x
  3. Step 3: Cross multiply
    385.75x = 848.75 × 848.75
  4. Step 4: Simplify right side
    385.75x = 720,376.56
  5. Step 5: Solve for x
    x = 720,376.56/385.75
  6. Step 6: Final answer
    x = 1,867.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.