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Finding the Third Proportional to 762.88 and 1,212.69

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Solution

The third proportional to 762.88 and 1,212.69 is: 1,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.88 : 1,212.69 = 1,212.69 : x
  2. Step 2: Convert to fraction form
    762.88/1,212.69 = 1,212.69/x
  3. Step 3: Cross multiply
    762.88x = 1,212.69 × 1,212.69
  4. Step 4: Simplify right side
    762.88x = 1,470,610.97
  5. Step 5: Solve for x
    x = 1,470,610.97/762.88
  6. Step 6: Final answer
    x = 1,927.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.