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Finding the Third Proportional to 246,460 and 504,575

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Solution

The third proportional to 246,460 and 504,575 is: 1,033,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,460 : 504,575 = 504,575 : x
  2. Step 2: Convert to fraction form
    246,460/504,575 = 504,575/x
  3. Step 3: Cross multiply
    246,460x = 504,575 × 504,575
  4. Step 4: Simplify right side
    246,460x = 254,595,930,625
  5. Step 5: Solve for x
    x = 254,595,930,625/246,460
  6. Step 6: Final answer
    x = 1,033,011.16

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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.