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Finding the Third Proportional to 922.22 and 1,412.23

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Solution

The third proportional to 922.22 and 1,412.23 is: 2,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.22 : 1,412.23 = 1,412.23 : x
  2. Step 2: Convert to fraction form
    922.22/1,412.23 = 1,412.23/x
  3. Step 3: Cross multiply
    922.22x = 1,412.23 × 1,412.23
  4. Step 4: Simplify right side
    922.22x = 1,994,383.86
  5. Step 5: Solve for x
    x = 1,994,383.86/922.22
  6. Step 6: Final answer
    x = 2,162.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.