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Finding the Third Proportional to 611.93 and 1,296.63

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Solution

The third proportional to 611.93 and 1,296.63 is: 2,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.93 : 1,296.63 = 1,296.63 : x
  2. Step 2: Convert to fraction form
    611.93/1,296.63 = 1,296.63/x
  3. Step 3: Cross multiply
    611.93x = 1,296.63 × 1,296.63
  4. Step 4: Simplify right side
    611.93x = 1,681,256.65
  5. Step 5: Solve for x
    x = 1,681,256.65/611.93
  6. Step 6: Final answer
    x = 2,747.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.