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Finding the Third Proportional to 736.31 and 1,602.56

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Solution

The third proportional to 736.31 and 1,602.56 is: 3,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.31 : 1,602.56 = 1,602.56 : x
  2. Step 2: Convert to fraction form
    736.31/1,602.56 = 1,602.56/x
  3. Step 3: Cross multiply
    736.31x = 1,602.56 × 1,602.56
  4. Step 4: Simplify right side
    736.31x = 2,568,206.57
  5. Step 5: Solve for x
    x = 2,568,206.57/736.31
  6. Step 6: Final answer
    x = 3,487.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.