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Finding the Third Proportional to 598,945.50 and 1,297,494

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Solution

The third proportional to 598,945.50 and 1,297,494 is: 2,810,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,945.50 : 1,297,494 = 1,297,494 : x
  2. Step 2: Convert to fraction form
    598,945.50/1,297,494 = 1,297,494/x
  3. Step 3: Cross multiply
    598,945.50x = 1,297,494 × 1,297,494
  4. Step 4: Simplify right side
    598,945.50x = 1,683,490,680,036
  5. Step 5: Solve for x
    x = 1,683,490,680,036/598,945.50
  6. Step 6: Final answer
    x = 2,810,757.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.