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Finding the Third Proportional to 798.77 and 1,226.07

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Solution

The third proportional to 798.77 and 1,226.07 is: 1,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.77 : 1,226.07 = 1,226.07 : x
  2. Step 2: Convert to fraction form
    798.77/1,226.07 = 1,226.07/x
  3. Step 3: Cross multiply
    798.77x = 1,226.07 × 1,226.07
  4. Step 4: Simplify right side
    798.77x = 1,503,257.99
  5. Step 5: Solve for x
    x = 1,503,257.99/798.77
  6. Step 6: Final answer
    x = 1,881.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.