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Finding the Third Proportional to 662.06 and 1,437.94

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Solution

The third proportional to 662.06 and 1,437.94 is: 3,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 1,437.94 = 1,437.94 : x
  2. Step 2: Convert to fraction form
    662.06/1,437.94 = 1,437.94/x
  3. Step 3: Cross multiply
    662.06x = 1,437.94 × 1,437.94
  4. Step 4: Simplify right side
    662.06x = 2,067,664.25
  5. Step 5: Solve for x
    x = 2,067,664.25/662.06
  6. Step 6: Final answer
    x = 3,123.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.