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Finding the Third Proportional to 609.19 and 1,295.58

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Solution

The third proportional to 609.19 and 1,295.58 is: 2,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.19 : 1,295.58 = 1,295.58 : x
  2. Step 2: Convert to fraction form
    609.19/1,295.58 = 1,295.58/x
  3. Step 3: Cross multiply
    609.19x = 1,295.58 × 1,295.58
  4. Step 4: Simplify right side
    609.19x = 1,678,522.68
  5. Step 5: Solve for x
    x = 1,678,522.68/609.19
  6. Step 6: Final answer
    x = 2,755.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.