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Finding the Third Proportional to 997.95 and 1,394.93

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Solution

The third proportional to 997.95 and 1,394.93 is: 1,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.95 : 1,394.93 = 1,394.93 : x
  2. Step 2: Convert to fraction form
    997.95/1,394.93 = 1,394.93/x
  3. Step 3: Cross multiply
    997.95x = 1,394.93 × 1,394.93
  4. Step 4: Simplify right side
    997.95x = 1,945,828.83
  5. Step 5: Solve for x
    x = 1,945,828.83/997.95
  6. Step 6: Final answer
    x = 1,949.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.