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Finding the Third Proportional to 524.39 and 774.35

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Solution

The third proportional to 524.39 and 774.35 is: 1,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 774.35 = 774.35 : x
  2. Step 2: Convert to fraction form
    524.39/774.35 = 774.35/x
  3. Step 3: Cross multiply
    524.39x = 774.35 × 774.35
  4. Step 4: Simplify right side
    524.39x = 599,620.34
  5. Step 5: Solve for x
    x = 599,620.34/524.39
  6. Step 6: Final answer
    x = 1,143.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.