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Finding the Third Proportional to 415.50 and 873.19

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Solution

The third proportional to 415.50 and 873.19 is: 1,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 873.19 = 873.19 : x
  2. Step 2: Convert to fraction form
    415.50/873.19 = 873.19/x
  3. Step 3: Cross multiply
    415.50x = 873.19 × 873.19
  4. Step 4: Simplify right side
    415.50x = 762,456.41
  5. Step 5: Solve for x
    x = 762,456.41/415.50
  6. Step 6: Final answer
    x = 1,835.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.