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Finding the Third Proportional to 639.94 and 1,068.38

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Solution

The third proportional to 639.94 and 1,068.38 is: 1,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.94 : 1,068.38 = 1,068.38 : x
  2. Step 2: Convert to fraction form
    639.94/1,068.38 = 1,068.38/x
  3. Step 3: Cross multiply
    639.94x = 1,068.38 × 1,068.38
  4. Step 4: Simplify right side
    639.94x = 1,141,425.14
  5. Step 5: Solve for x
    x = 1,141,425.14/639.94
  6. Step 6: Final answer
    x = 1,783.65

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.