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Finding the Third Proportional to 440.06 and 699.19

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Solution

The third proportional to 440.06 and 699.19 is: 1,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.06 : 699.19 = 699.19 : x
  2. Step 2: Convert to fraction form
    440.06/699.19 = 699.19/x
  3. Step 3: Cross multiply
    440.06x = 699.19 × 699.19
  4. Step 4: Simplify right side
    440.06x = 488,863.16
  5. Step 5: Solve for x
    x = 488,863.16/440.06
  6. Step 6: Final answer
    x = 1,110.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.