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Finding the Third Proportional to 450.70 and 966.66

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Solution

The third proportional to 450.70 and 966.66 is: 2,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.70 : 966.66 = 966.66 : x
  2. Step 2: Convert to fraction form
    450.70/966.66 = 966.66/x
  3. Step 3: Cross multiply
    450.70x = 966.66 × 966.66
  4. Step 4: Simplify right side
    450.70x = 934,424.31
  5. Step 5: Solve for x
    x = 934,424.31/450.70
  6. Step 6: Final answer
    x = 2,073.26

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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.