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Finding the Third Proportional to 230,650 and 500,660

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Solution

The third proportional to 230,650 and 500,660 is: 1,086,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,650 : 500,660 = 500,660 : x
  2. Step 2: Convert to fraction form
    230,650/500,660 = 500,660/x
  3. Step 3: Cross multiply
    230,650x = 500,660 × 500,660
  4. Step 4: Simplify right side
    230,650x = 250,660,435,600
  5. Step 5: Solve for x
    x = 250,660,435,600/230,650
  6. Step 6: Final answer
    x = 1,086,756.71

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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.