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Finding the Third Proportional to 246,478 and 504,632

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Solution

The third proportional to 246,478 and 504,632 is: 1,033,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,478 : 504,632 = 504,632 : x
  2. Step 2: Convert to fraction form
    246,478/504,632 = 504,632/x
  3. Step 3: Cross multiply
    246,478x = 504,632 × 504,632
  4. Step 4: Simplify right side
    246,478x = 254,653,455,424
  5. Step 5: Solve for x
    x = 254,653,455,424/246,478
  6. Step 6: Final answer
    x = 1,033,169.11

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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.