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Finding the Third Proportional to 566,530 and 854,179

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Solution

The third proportional to 566,530 and 854,179 is: 1,287,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,530 : 854,179 = 854,179 : x
  2. Step 2: Convert to fraction form
    566,530/854,179 = 854,179/x
  3. Step 3: Cross multiply
    566,530x = 854,179 × 854,179
  4. Step 4: Simplify right side
    566,530x = 729,621,764,041
  5. Step 5: Solve for x
    x = 729,621,764,041/566,530
  6. Step 6: Final answer
    x = 1,287,878.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.