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Finding the Third Proportional to 1,200.29 and 2,464.65

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Solution

The third proportional to 1,200.29 and 2,464.65 is: 5,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.29 : 2,464.65 = 2,464.65 : x
  2. Step 2: Convert to fraction form
    1,200.29/2,464.65 = 2,464.65/x
  3. Step 3: Cross multiply
    1,200.29x = 2,464.65 × 2,464.65
  4. Step 4: Simplify right side
    1,200.29x = 6,074,482.29
  5. Step 5: Solve for x
    x = 6,074,482.29/1,200.29
  6. Step 6: Final answer
    x = 5,060.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.