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Finding the Third Proportional to 415.38 and 955.75

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Solution

The third proportional to 415.38 and 955.75 is: 2,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 955.75 = 955.75 : x
  2. Step 2: Convert to fraction form
    415.38/955.75 = 955.75/x
  3. Step 3: Cross multiply
    415.38x = 955.75 × 955.75
  4. Step 4: Simplify right side
    415.38x = 913,458.06
  5. Step 5: Solve for x
    x = 913,458.06/415.38
  6. Step 6: Final answer
    x = 2,199.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.