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Finding the Third Proportional to 943.88 and 1,473.75

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Solution

The third proportional to 943.88 and 1,473.75 is: 2,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.88 : 1,473.75 = 1,473.75 : x
  2. Step 2: Convert to fraction form
    943.88/1,473.75 = 1,473.75/x
  3. Step 3: Cross multiply
    943.88x = 1,473.75 × 1,473.75
  4. Step 4: Simplify right side
    943.88x = 2,171,939.06
  5. Step 5: Solve for x
    x = 2,171,939.06/943.88
  6. Step 6: Final answer
    x = 2,301.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.