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Finding the Third Proportional to 230,652 and 506,744

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Solution

The third proportional to 230,652 and 506,744 is: 1,113,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,652 : 506,744 = 506,744 : x
  2. Step 2: Convert to fraction form
    230,652/506,744 = 506,744/x
  3. Step 3: Cross multiply
    230,652x = 506,744 × 506,744
  4. Step 4: Simplify right side
    230,652x = 256,789,481,536
  5. Step 5: Solve for x
    x = 256,789,481,536/230,652
  6. Step 6: Final answer
    x = 1,113,319.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.