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Finding the Third Proportional to 407.25 and 873.75

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Solution

The third proportional to 407.25 and 873.75 is: 1,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 873.75 = 873.75 : x
  2. Step 2: Convert to fraction form
    407.25/873.75 = 873.75/x
  3. Step 3: Cross multiply
    407.25x = 873.75 × 873.75
  4. Step 4: Simplify right side
    407.25x = 763,439.06
  5. Step 5: Solve for x
    x = 763,439.06/407.25
  6. Step 6: Final answer
    x = 1,874.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.