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Finding the Third Proportional to 609.19 and 1,322.06

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Solution

The third proportional to 609.19 and 1,322.06 is: 2,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.19 : 1,322.06 = 1,322.06 : x
  2. Step 2: Convert to fraction form
    609.19/1,322.06 = 1,322.06/x
  3. Step 3: Cross multiply
    609.19x = 1,322.06 × 1,322.06
  4. Step 4: Simplify right side
    609.19x = 1,747,849.25
  5. Step 5: Solve for x
    x = 1,747,849.25/609.19
  6. Step 6: Final answer
    x = 2,869.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.