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Finding the Third Proportional to 246,601 and 369,902

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Solution

The third proportional to 246,601 and 369,902 is: 554,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,601 : 369,902 = 369,902 : x
  2. Step 2: Convert to fraction form
    246,601/369,902 = 369,902/x
  3. Step 3: Cross multiply
    246,601x = 369,902 × 369,902
  4. Step 4: Simplify right side
    246,601x = 136,827,489,604
  5. Step 5: Solve for x
    x = 136,827,489,604/246,601
  6. Step 6: Final answer
    x = 554,853.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.