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Finding the Third Proportional to 246,477 and 504,630

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Solution

The third proportional to 246,477 and 504,630 is: 1,033,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,477 : 504,630 = 504,630 : x
  2. Step 2: Convert to fraction form
    246,477/504,630 = 504,630/x
  3. Step 3: Cross multiply
    246,477x = 504,630 × 504,630
  4. Step 4: Simplify right side
    246,477x = 254,651,436,900
  5. Step 5: Solve for x
    x = 254,651,436,900/246,477
  6. Step 6: Final answer
    x = 1,033,165.11

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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.