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Finding the Third Proportional to 246,407 and 504,478

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Solution

The third proportional to 246,407 and 504,478 is: 1,032,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,407 : 504,478 = 504,478 : x
  2. Step 2: Convert to fraction form
    246,407/504,478 = 504,478/x
  3. Step 3: Cross multiply
    246,407x = 504,478 × 504,478
  4. Step 4: Simplify right side
    246,407x = 254,498,052,484
  5. Step 5: Solve for x
    x = 254,498,052,484/246,407
  6. Step 6: Final answer
    x = 1,032,836.13

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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.