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Finding the Third Proportional to 311,071.50 and 666,204

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Solution

The third proportional to 311,071.50 and 666,204 is: 1,426,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,071.50 : 666,204 = 666,204 : x
  2. Step 2: Convert to fraction form
    311,071.50/666,204 = 666,204/x
  3. Step 3: Cross multiply
    311,071.50x = 666,204 × 666,204
  4. Step 4: Simplify right side
    311,071.50x = 443,827,769,616
  5. Step 5: Solve for x
    x = 443,827,769,616/311,071.50
  6. Step 6: Final answer
    x = 1,426,770.92

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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.