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Finding the Third Proportional to 246,464 and 504,607

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Solution

The third proportional to 246,464 and 504,607 is: 1,033,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,464 : 504,607 = 504,607 : x
  2. Step 2: Convert to fraction form
    246,464/504,607 = 504,607/x
  3. Step 3: Cross multiply
    246,464x = 504,607 × 504,607
  4. Step 4: Simplify right side
    246,464x = 254,628,224,449
  5. Step 5: Solve for x
    x = 254,628,224,449/246,464
  6. Step 6: Final answer
    x = 1,033,125.42

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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.