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Finding the Third Proportional to 666.35 and 1,033.70

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Solution

The third proportional to 666.35 and 1,033.70 is: 1,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.35 : 1,033.70 = 1,033.70 : x
  2. Step 2: Convert to fraction form
    666.35/1,033.70 = 1,033.70/x
  3. Step 3: Cross multiply
    666.35x = 1,033.70 × 1,033.70
  4. Step 4: Simplify right side
    666.35x = 1,068,534.07
  5. Step 5: Solve for x
    x = 1,068,534.07/666.35
  6. Step 6: Final answer
    x = 1,603.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.