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Finding the Third Proportional to 421.68 and 924.44

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Solution

The third proportional to 421.68 and 924.44 is: 2,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 924.44 = 924.44 : x
  2. Step 2: Convert to fraction form
    421.68/924.44 = 924.44/x
  3. Step 3: Cross multiply
    421.68x = 924.44 × 924.44
  4. Step 4: Simplify right side
    421.68x = 854,594.23
  5. Step 5: Solve for x
    x = 854,594.23/421.68
  6. Step 6: Final answer
    x = 2,026.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.