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Finding the Third Proportional to 246,404 and 504,472

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Solution

The third proportional to 246,404 and 504,472 is: 1,032,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,404 : 504,472 = 504,472 : x
  2. Step 2: Convert to fraction form
    246,404/504,472 = 504,472/x
  3. Step 3: Cross multiply
    246,404x = 504,472 × 504,472
  4. Step 4: Simplify right side
    246,404x = 254,491,998,784
  5. Step 5: Solve for x
    x = 254,491,998,784/246,404
  6. Step 6: Final answer
    x = 1,032,824.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.