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Finding the Third Proportional to 311,069 and 666,241

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Solution

The third proportional to 311,069 and 666,241 is: 1,426,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 666,241 = 666,241 : x
  2. Step 2: Convert to fraction form
    311,069/666,241 = 666,241/x
  3. Step 3: Cross multiply
    311,069x = 666,241 × 666,241
  4. Step 4: Simplify right side
    311,069x = 443,877,070,081
  5. Step 5: Solve for x
    x = 443,877,070,081/311,069
  6. Step 6: Final answer
    x = 1,426,940.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.