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Finding the Third Proportional to 230,573 and 486,211.50

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Solution

The third proportional to 230,573 and 486,211.50 is: 1,025,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,573 : 486,211.50 = 486,211.50 : x
  2. Step 2: Convert to fraction form
    230,573/486,211.50 = 486,211.50/x
  3. Step 3: Cross multiply
    230,573x = 486,211.50 × 486,211.50
  4. Step 4: Simplify right side
    230,573x = 236,401,622,732.25
  5. Step 5: Solve for x
    x = 236,401,622,732.25/230,573
  6. Step 6: Final answer
    x = 1,025,278.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.