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Finding the Third Proportional to 997.31 and 2,346.05

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Solution

The third proportional to 997.31 and 2,346.05 is: 5,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 2,346.05 = 2,346.05 : x
  2. Step 2: Convert to fraction form
    997.31/2,346.05 = 2,346.05/x
  3. Step 3: Cross multiply
    997.31x = 2,346.05 × 2,346.05
  4. Step 4: Simplify right side
    997.31x = 5,503,935.94
  5. Step 5: Solve for x
    x = 5,503,935.94/997.31
  6. Step 6: Final answer
    x = 5,518.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.