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Finding the Third Proportional to 609.19 and 1,315.83

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Solution

The third proportional to 609.19 and 1,315.83 is: 2,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.19 : 1,315.83 = 1,315.83 : x
  2. Step 2: Convert to fraction form
    609.19/1,315.83 = 1,315.83/x
  3. Step 3: Cross multiply
    609.19x = 1,315.83 × 1,315.83
  4. Step 4: Simplify right side
    609.19x = 1,731,403.65
  5. Step 5: Solve for x
    x = 1,731,403.65/609.19
  6. Step 6: Final answer
    x = 2,842.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.