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Finding the Third Proportional to 311,694.75 and 671,058

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Solution

The third proportional to 311,694.75 and 671,058 is: 1,444,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,694.75 : 671,058 = 671,058 : x
  2. Step 2: Convert to fraction form
    311,694.75/671,058 = 671,058/x
  3. Step 3: Cross multiply
    311,694.75x = 671,058 × 671,058
  4. Step 4: Simplify right side
    311,694.75x = 450,318,839,364
  5. Step 5: Solve for x
    x = 450,318,839,364/311,694.75
  6. Step 6: Final answer
    x = 1,444,743.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.