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Finding the Third Proportional to 741.66 and 1,157.41

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Solution

The third proportional to 741.66 and 1,157.41 is: 1,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.66 : 1,157.41 = 1,157.41 : x
  2. Step 2: Convert to fraction form
    741.66/1,157.41 = 1,157.41/x
  3. Step 3: Cross multiply
    741.66x = 1,157.41 × 1,157.41
  4. Step 4: Simplify right side
    741.66x = 1,339,607.31
  5. Step 5: Solve for x
    x = 1,339,607.31/741.66
  6. Step 6: Final answer
    x = 1,806.24

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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.