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Finding the Third Proportional to 888.89 and 1,345.57

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Solution

The third proportional to 888.89 and 1,345.57 is: 2,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.89 : 1,345.57 = 1,345.57 : x
  2. Step 2: Convert to fraction form
    888.89/1,345.57 = 1,345.57/x
  3. Step 3: Cross multiply
    888.89x = 1,345.57 × 1,345.57
  4. Step 4: Simplify right side
    888.89x = 1,810,559.47
  5. Step 5: Solve for x
    x = 1,810,559.47/888.89
  6. Step 6: Final answer
    x = 2,036.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.