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Finding the Third Proportional to 311,769 and 671,611.50

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Solution

The third proportional to 311,769 and 671,611.50 is: 1,446,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,769 : 671,611.50 = 671,611.50 : x
  2. Step 2: Convert to fraction form
    311,769/671,611.50 = 671,611.50/x
  3. Step 3: Cross multiply
    311,769x = 671,611.50 × 671,611.50
  4. Step 4: Simplify right side
    311,769x = 451,062,006,932.25
  5. Step 5: Solve for x
    x = 451,062,006,932.25/311,769
  6. Step 6: Final answer
    x = 1,446,782.74

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