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Finding the Third Proportional to 230,474 and 500,308

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Solution

The third proportional to 230,474 and 500,308 is: 1,086,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,474 : 500,308 = 500,308 : x
  2. Step 2: Convert to fraction form
    230,474/500,308 = 500,308/x
  3. Step 3: Cross multiply
    230,474x = 500,308 × 500,308
  4. Step 4: Simplify right side
    230,474x = 250,308,094,864
  5. Step 5: Solve for x
    x = 250,308,094,864/230,474
  6. Step 6: Final answer
    x = 1,086,057.84

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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.