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Finding the Third Proportional to 465,772.50 and 703,086

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Solution

The third proportional to 465,772.50 and 703,086 is: 1,061,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,772.50 : 703,086 = 703,086 : x
  2. Step 2: Convert to fraction form
    465,772.50/703,086 = 703,086/x
  3. Step 3: Cross multiply
    465,772.50x = 703,086 × 703,086
  4. Step 4: Simplify right side
    465,772.50x = 494,329,923,396
  5. Step 5: Solve for x
    x = 494,329,923,396/465,772.50
  6. Step 6: Final answer
    x = 1,061,311.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.