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Finding the Third Proportional to 786,982.50 and 930,687.75

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Solution

The third proportional to 786,982.50 and 930,687.75 is: 1,100,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,982.50 : 930,687.75 = 930,687.75 : x
  2. Step 2: Convert to fraction form
    786,982.50/930,687.75 = 930,687.75/x
  3. Step 3: Cross multiply
    786,982.50x = 930,687.75 × 930,687.75
  4. Step 4: Simplify right side
    786,982.50x = 866,179,688,000.06
  5. Step 5: Solve for x
    x = 866,179,688,000.06/786,982.50
  6. Step 6: Final answer
    x = 1,100,633.99

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.