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Finding the Third Proportional to 1,064.44 and 2,280.56

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Solution

The third proportional to 1,064.44 and 2,280.56 is: 4,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.44 : 2,280.56 = 2,280.56 : x
  2. Step 2: Convert to fraction form
    1,064.44/2,280.56 = 2,280.56/x
  3. Step 3: Cross multiply
    1,064.44x = 2,280.56 × 2,280.56
  4. Step 4: Simplify right side
    1,064.44x = 5,200,965.32
  5. Step 5: Solve for x
    x = 5,200,965.32/1,064.44
  6. Step 6: Final answer
    x = 4,886.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.