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Finding the Third Proportional to 666.35 and 1,423.83

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Solution

The third proportional to 666.35 and 1,423.83 is: 3,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.35 : 1,423.83 = 1,423.83 : x
  2. Step 2: Convert to fraction form
    666.35/1,423.83 = 1,423.83/x
  3. Step 3: Cross multiply
    666.35x = 1,423.83 × 1,423.83
  4. Step 4: Simplify right side
    666.35x = 2,027,286.53
  5. Step 5: Solve for x
    x = 2,027,286.53/666.35
  6. Step 6: Final answer
    x = 3,042.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.