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Finding the Third Proportional to 576.65 and 1,326.30

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Solution

The third proportional to 576.65 and 1,326.30 is: 3,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 1,326.30 = 1,326.30 : x
  2. Step 2: Convert to fraction form
    576.65/1,326.30 = 1,326.30/x
  3. Step 3: Cross multiply
    576.65x = 1,326.30 × 1,326.30
  4. Step 4: Simplify right side
    576.65x = 1,759,060.81
  5. Step 5: Solve for x
    x = 1,759,060.81/576.65
  6. Step 6: Final answer
    x = 3,050.48

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.