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Finding the Third Proportional to 920.44 and 1,421.81

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Solution

The third proportional to 920.44 and 1,421.81 is: 2,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.44 : 1,421.81 = 1,421.81 : x
  2. Step 2: Convert to fraction form
    920.44/1,421.81 = 1,421.81/x
  3. Step 3: Cross multiply
    920.44x = 1,421.81 × 1,421.81
  4. Step 4: Simplify right side
    920.44x = 2,021,550.79
  5. Step 5: Solve for x
    x = 2,021,550.79/920.44
  6. Step 6: Final answer
    x = 2,196.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.