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Finding the Third Proportional to 375.47 and 876.94

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Solution

The third proportional to 375.47 and 876.94 is: 2,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.47 : 876.94 = 876.94 : x
  2. Step 2: Convert to fraction form
    375.47/876.94 = 876.94/x
  3. Step 3: Cross multiply
    375.47x = 876.94 × 876.94
  4. Step 4: Simplify right side
    375.47x = 769,019.38
  5. Step 5: Solve for x
    x = 769,019.38/375.47
  6. Step 6: Final answer
    x = 2,048.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.