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Finding the Third Proportional to 1,314.56 and 1,998.84

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Solution

The third proportional to 1,314.56 and 1,998.84 is: 3,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.56 : 1,998.84 = 1,998.84 : x
  2. Step 2: Convert to fraction form
    1,314.56/1,998.84 = 1,998.84/x
  3. Step 3: Cross multiply
    1,314.56x = 1,998.84 × 1,998.84
  4. Step 4: Simplify right side
    1,314.56x = 3,995,376.34
  5. Step 5: Solve for x
    x = 3,995,376.34/1,314.56
  6. Step 6: Final answer
    x = 3,039.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.