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Finding the Third Proportional to 609.40 and 936.88

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Solution

The third proportional to 609.40 and 936.88 is: 1,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 936.88 = 936.88 : x
  2. Step 2: Convert to fraction form
    609.40/936.88 = 936.88/x
  3. Step 3: Cross multiply
    609.40x = 936.88 × 936.88
  4. Step 4: Simplify right side
    609.40x = 877,742.08
  5. Step 5: Solve for x
    x = 877,742.08/609.40
  6. Step 6: Final answer
    x = 1,440.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.