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Finding the Third Proportional to 311,238 and 679,014

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Solution

The third proportional to 311,238 and 679,014 is: 1,481,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,238 : 679,014 = 679,014 : x
  2. Step 2: Convert to fraction form
    311,238/679,014 = 679,014/x
  3. Step 3: Cross multiply
    311,238x = 679,014 × 679,014
  4. Step 4: Simplify right side
    311,238x = 461,060,012,196
  5. Step 5: Solve for x
    x = 461,060,012,196/311,238
  6. Step 6: Final answer
    x = 1,481,374.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.