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Finding the Third Proportional to 271,399.50 and 578,867.63

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Solution

The third proportional to 271,399.50 and 578,867.63 is: 1,234,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,399.50 : 578,867.63 = 578,867.63 : x
  2. Step 2: Convert to fraction form
    271,399.50/578,867.63 = 578,867.63/x
  3. Step 3: Cross multiply
    271,399.50x = 578,867.63 × 578,867.63
  4. Step 4: Simplify right side
    271,399.50x = 335,087,727,273.14
  5. Step 5: Solve for x
    x = 335,087,727,273.14/271,399.50
  6. Step 6: Final answer
    x = 1,234,665.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.