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Finding the Third Proportional to 733.31 and 1,152.19

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Solution

The third proportional to 733.31 and 1,152.19 is: 1,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.31 : 1,152.19 = 1,152.19 : x
  2. Step 2: Convert to fraction form
    733.31/1,152.19 = 1,152.19/x
  3. Step 3: Cross multiply
    733.31x = 1,152.19 × 1,152.19
  4. Step 4: Simplify right side
    733.31x = 1,327,536.04
  5. Step 5: Solve for x
    x = 1,327,536.04/733.31
  6. Step 6: Final answer
    x = 1,810.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.