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Finding the Third Proportional to 246,479 and 504,634

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Solution

The third proportional to 246,479 and 504,634 is: 1,033,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,479 : 504,634 = 504,634 : x
  2. Step 2: Convert to fraction form
    246,479/504,634 = 504,634/x
  3. Step 3: Cross multiply
    246,479x = 504,634 × 504,634
  4. Step 4: Simplify right side
    246,479x = 254,655,473,956
  5. Step 5: Solve for x
    x = 254,655,473,956/246,479
  6. Step 6: Final answer
    x = 1,033,173.11

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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.