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Finding the Third Proportional to 832.78 and 1,365.19

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Solution

The third proportional to 832.78 and 1,365.19 is: 2,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.78 : 1,365.19 = 1,365.19 : x
  2. Step 2: Convert to fraction form
    832.78/1,365.19 = 1,365.19/x
  3. Step 3: Cross multiply
    832.78x = 1,365.19 × 1,365.19
  4. Step 4: Simplify right side
    832.78x = 1,863,736.91
  5. Step 5: Solve for x
    x = 1,863,736.91/832.78
  6. Step 6: Final answer
    x = 2,237.97

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.