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Finding the Third Proportional to 999.42 and 2,054.53

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Solution

The third proportional to 999.42 and 2,054.53 is: 4,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.42 : 2,054.53 = 2,054.53 : x
  2. Step 2: Convert to fraction form
    999.42/2,054.53 = 2,054.53/x
  3. Step 3: Cross multiply
    999.42x = 2,054.53 × 2,054.53
  4. Step 4: Simplify right side
    999.42x = 4,221,098.66
  5. Step 5: Solve for x
    x = 4,221,098.66/999.42
  6. Step 6: Final answer
    x = 4,223.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.