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Finding the Third Proportional to 246,504 and 374,364

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Solution

The third proportional to 246,504 and 374,364 is: 568,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,504 : 374,364 = 374,364 : x
  2. Step 2: Convert to fraction form
    246,504/374,364 = 374,364/x
  3. Step 3: Cross multiply
    246,504x = 374,364 × 374,364
  4. Step 4: Simplify right side
    246,504x = 140,148,404,496
  5. Step 5: Solve for x
    x = 140,148,404,496/246,504
  6. Step 6: Final answer
    x = 568,544.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.