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Finding the Third Proportional to 421.88 and 999.84

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Solution

The third proportional to 421.88 and 999.84 is: 2,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 999.84 = 999.84 : x
  2. Step 2: Convert to fraction form
    421.88/999.84 = 999.84/x
  3. Step 3: Cross multiply
    421.88x = 999.84 × 999.84
  4. Step 4: Simplify right side
    421.88x = 999,687.52
  5. Step 5: Solve for x
    x = 999,687.52/421.88
  6. Step 6: Final answer
    x = 2,369.63

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.