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Finding the Third Proportional to 415.75 and 478.75

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Solution

The third proportional to 415.75 and 478.75 is: 551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 478.75 = 478.75 : x
  2. Step 2: Convert to fraction form
    415.75/478.75 = 478.75/x
  3. Step 3: Cross multiply
    415.75x = 478.75 × 478.75
  4. Step 4: Simplify right side
    415.75x = 229,201.56
  5. Step 5: Solve for x
    x = 229,201.56/415.75
  6. Step 6: Final answer
    x = 551.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.