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Finding the Third Proportional to 263,861 and 514,600

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Solution

The third proportional to 263,861 and 514,600 is: 1,003,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,861 : 514,600 = 514,600 : x
  2. Step 2: Convert to fraction form
    263,861/514,600 = 514,600/x
  3. Step 3: Cross multiply
    263,861x = 514,600 × 514,600
  4. Step 4: Simplify right side
    263,861x = 264,813,160,000
  5. Step 5: Solve for x
    x = 264,813,160,000/263,861
  6. Step 6: Final answer
    x = 1,003,608.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.