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Finding the Third Proportional to 311,608.50 and 688,611

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Solution

The third proportional to 311,608.50 and 688,611 is: 1,521,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,608.50 : 688,611 = 688,611 : x
  2. Step 2: Convert to fraction form
    311,608.50/688,611 = 688,611/x
  3. Step 3: Cross multiply
    311,608.50x = 688,611 × 688,611
  4. Step 4: Simplify right side
    311,608.50x = 474,185,109,321
  5. Step 5: Solve for x
    x = 474,185,109,321/311,608.50
  6. Step 6: Final answer
    x = 1,521,733.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.