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Finding the Third Proportional to 404.06 and 854.53

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Solution

The third proportional to 404.06 and 854.53 is: 1,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 854.53 = 854.53 : x
  2. Step 2: Convert to fraction form
    404.06/854.53 = 854.53/x
  3. Step 3: Cross multiply
    404.06x = 854.53 × 854.53
  4. Step 4: Simplify right side
    404.06x = 730,223.66
  5. Step 5: Solve for x
    x = 730,223.66/404.06
  6. Step 6: Final answer
    x = 1,807.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.