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Finding the Third Proportional to 730.69 and 1,479.09

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Solution

The third proportional to 730.69 and 1,479.09 is: 2,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,479.09 = 1,479.09 : x
  2. Step 2: Convert to fraction form
    730.69/1,479.09 = 1,479.09/x
  3. Step 3: Cross multiply
    730.69x = 1,479.09 × 1,479.09
  4. Step 4: Simplify right side
    730.69x = 2,187,718.32
  5. Step 5: Solve for x
    x = 2,187,718.32/730.69
  6. Step 6: Final answer
    x = 2,994.05

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.