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Finding the Third Proportional to 375.38 and 882.94

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Solution

The third proportional to 375.38 and 882.94 is: 2,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.38 : 882.94 = 882.94 : x
  2. Step 2: Convert to fraction form
    375.38/882.94 = 882.94/x
  3. Step 3: Cross multiply
    375.38x = 882.94 × 882.94
  4. Step 4: Simplify right side
    375.38x = 779,578.63
  5. Step 5: Solve for x
    x = 779,578.63/375.38
  6. Step 6: Final answer
    x = 2,076.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.