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Finding the Third Proportional to 774.44 and 1,154.88

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Solution

The third proportional to 774.44 and 1,154.88 is: 1,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.44 : 1,154.88 = 1,154.88 : x
  2. Step 2: Convert to fraction form
    774.44/1,154.88 = 1,154.88/x
  3. Step 3: Cross multiply
    774.44x = 1,154.88 × 1,154.88
  4. Step 4: Simplify right side
    774.44x = 1,333,736.27
  5. Step 5: Solve for x
    x = 1,333,736.27/774.44
  6. Step 6: Final answer
    x = 1,722.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.