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Finding the Third Proportional to 441.56 and 699.05

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Solution

The third proportional to 441.56 and 699.05 is: 1,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.56 : 699.05 = 699.05 : x
  2. Step 2: Convert to fraction form
    441.56/699.05 = 699.05/x
  3. Step 3: Cross multiply
    441.56x = 699.05 × 699.05
  4. Step 4: Simplify right side
    441.56x = 488,666.53
  5. Step 5: Solve for x
    x = 488,666.53/441.56
  6. Step 6: Final answer
    x = 1,106.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.