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Finding the Third Proportional to 774.94 and 1,110.47

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Solution

The third proportional to 774.94 and 1,110.47 is: 1,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.94 : 1,110.47 = 1,110.47 : x
  2. Step 2: Convert to fraction form
    774.94/1,110.47 = 1,110.47/x
  3. Step 3: Cross multiply
    774.94x = 1,110.47 × 1,110.47
  4. Step 4: Simplify right side
    774.94x = 1,233,140.84
  5. Step 5: Solve for x
    x = 1,233,140.84/774.94
  6. Step 6: Final answer
    x = 1,591.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.