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Finding the Third Proportional to 292.22 and 643.92

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Solution

The third proportional to 292.22 and 643.92 is: 1,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.22 : 643.92 = 643.92 : x
  2. Step 2: Convert to fraction form
    292.22/643.92 = 643.92/x
  3. Step 3: Cross multiply
    292.22x = 643.92 × 643.92
  4. Step 4: Simplify right side
    292.22x = 414,635.38
  5. Step 5: Solve for x
    x = 414,635.38/292.22
  6. Step 6: Final answer
    x = 1,418.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.