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Finding the Third Proportional to 246,074 and 379,497

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Solution

The third proportional to 246,074 and 379,497 is: 585,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,074 : 379,497 = 379,497 : x
  2. Step 2: Convert to fraction form
    246,074/379,497 = 379,497/x
  3. Step 3: Cross multiply
    246,074x = 379,497 × 379,497
  4. Step 4: Simplify right side
    246,074x = 144,017,973,009
  5. Step 5: Solve for x
    x = 144,017,973,009/246,074
  6. Step 6: Final answer
    x = 585,262.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.