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Finding the Third Proportional to 741.94 and 1,602.81

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Solution

The third proportional to 741.94 and 1,602.81 is: 3,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.94 : 1,602.81 = 1,602.81 : x
  2. Step 2: Convert to fraction form
    741.94/1,602.81 = 1,602.81/x
  3. Step 3: Cross multiply
    741.94x = 1,602.81 × 1,602.81
  4. Step 4: Simplify right side
    741.94x = 2,569,007.91
  5. Step 5: Solve for x
    x = 2,569,007.91/741.94
  6. Step 6: Final answer
    x = 3,462.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.