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Finding the Third Proportional to 999.42 and 1,576.55

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Solution

The third proportional to 999.42 and 1,576.55 is: 2,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.42 : 1,576.55 = 1,576.55 : x
  2. Step 2: Convert to fraction form
    999.42/1,576.55 = 1,576.55/x
  3. Step 3: Cross multiply
    999.42x = 1,576.55 × 1,576.55
  4. Step 4: Simplify right side
    999.42x = 2,485,500.05
  5. Step 5: Solve for x
    x = 2,485,500.05/999.42
  6. Step 6: Final answer
    x = 2,486.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.