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Finding the Third Proportional to 1,298.53 and 1,879.45

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Solution

The third proportional to 1,298.53 and 1,879.45 is: 2,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.53 : 1,879.45 = 1,879.45 : x
  2. Step 2: Convert to fraction form
    1,298.53/1,879.45 = 1,879.45/x
  3. Step 3: Cross multiply
    1,298.53x = 1,879.45 × 1,879.45
  4. Step 4: Simplify right side
    1,298.53x = 3,532,344.05
  5. Step 5: Solve for x
    x = 3,532,344.05/1,298.53
  6. Step 6: Final answer
    x = 2,720.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.