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Finding the Third Proportional to 888.82 and 1,301.11

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Solution

The third proportional to 888.82 and 1,301.11 is: 1,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.82 : 1,301.11 = 1,301.11 : x
  2. Step 2: Convert to fraction form
    888.82/1,301.11 = 1,301.11/x
  3. Step 3: Cross multiply
    888.82x = 1,301.11 × 1,301.11
  4. Step 4: Simplify right side
    888.82x = 1,692,892.28
  5. Step 5: Solve for x
    x = 1,692,892.28/888.82
  6. Step 6: Final answer
    x = 1,904.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.