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Finding the Third Proportional to 594.16 and 1,226.19

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Solution

The third proportional to 594.16 and 1,226.19 is: 2,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.16 : 1,226.19 = 1,226.19 : x
  2. Step 2: Convert to fraction form
    594.16/1,226.19 = 1,226.19/x
  3. Step 3: Cross multiply
    594.16x = 1,226.19 × 1,226.19
  4. Step 4: Simplify right side
    594.16x = 1,503,535.79
  5. Step 5: Solve for x
    x = 1,503,535.79/594.16
  6. Step 6: Final answer
    x = 2,530.54

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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.