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Finding the Third Proportional to 367.61 and 569.44

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Solution

The third proportional to 367.61 and 569.44 is: 882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.61 : 569.44 = 569.44 : x
  2. Step 2: Convert to fraction form
    367.61/569.44 = 569.44/x
  3. Step 3: Cross multiply
    367.61x = 569.44 × 569.44
  4. Step 4: Simplify right side
    367.61x = 324,264.49
  5. Step 5: Solve for x
    x = 324,264.49/367.61
  6. Step 6: Final answer
    x = 882.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.