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Finding the Third Proportional to 795.09 and 1,216.41

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Solution

The third proportional to 795.09 and 1,216.41 is: 1,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.09 : 1,216.41 = 1,216.41 : x
  2. Step 2: Convert to fraction form
    795.09/1,216.41 = 1,216.41/x
  3. Step 3: Cross multiply
    795.09x = 1,216.41 × 1,216.41
  4. Step 4: Simplify right side
    795.09x = 1,479,644.17
  5. Step 5: Solve for x
    x = 1,479,644.17/795.09
  6. Step 6: Final answer
    x = 1,860.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.