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Finding the Third Proportional to 230,634 and 500,632

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Solution

The third proportional to 230,634 and 500,632 is: 1,086,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,634 : 500,632 = 500,632 : x
  2. Step 2: Convert to fraction form
    230,634/500,632 = 500,632/x
  3. Step 3: Cross multiply
    230,634x = 500,632 × 500,632
  4. Step 4: Simplify right side
    230,634x = 250,632,399,424
  5. Step 5: Solve for x
    x = 250,632,399,424/230,634
  6. Step 6: Final answer
    x = 1,086,710.54

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Why These Related Problems?

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