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Finding the Third Proportional to 999.42 and 1,784.95

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Solution

The third proportional to 999.42 and 1,784.95 is: 3,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.42 : 1,784.95 = 1,784.95 : x
  2. Step 2: Convert to fraction form
    999.42/1,784.95 = 1,784.95/x
  3. Step 3: Cross multiply
    999.42x = 1,784.95 × 1,784.95
  4. Step 4: Simplify right side
    999.42x = 3,186,057.66
  5. Step 5: Solve for x
    x = 3,186,057.66/999.42
  6. Step 6: Final answer
    x = 3,187.90

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.