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Finding the Third Proportional to 415.38 and 575.94

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Solution

The third proportional to 415.38 and 575.94 is: 798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 575.94 = 575.94 : x
  2. Step 2: Convert to fraction form
    415.38/575.94 = 575.94/x
  3. Step 3: Cross multiply
    415.38x = 575.94 × 575.94
  4. Step 4: Simplify right side
    415.38x = 331,704.00
  5. Step 5: Solve for x
    x = 331,704.00/415.38
  6. Step 6: Final answer
    x = 798.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.