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Finding the Third Proportional to 394.50 and 860.20

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Solution

The third proportional to 394.50 and 860.20 is: 1,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 860.20 = 860.20 : x
  2. Step 2: Convert to fraction form
    394.50/860.20 = 860.20/x
  3. Step 3: Cross multiply
    394.50x = 860.20 × 860.20
  4. Step 4: Simplify right side
    394.50x = 739,949.42
  5. Step 5: Solve for x
    x = 739,949.42/394.50
  6. Step 6: Final answer
    x = 1,875.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.