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Finding the Third Proportional to 594.22 and 1,226.31

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Solution

The third proportional to 594.22 and 1,226.31 is: 2,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.22 : 1,226.31 = 1,226.31 : x
  2. Step 2: Convert to fraction form
    594.22/1,226.31 = 1,226.31/x
  3. Step 3: Cross multiply
    594.22x = 1,226.31 × 1,226.31
  4. Step 4: Simplify right side
    594.22x = 1,503,842.35
  5. Step 5: Solve for x
    x = 1,503,842.35/594.22
  6. Step 6: Final answer
    x = 2,530.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.