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Finding the Third Proportional to 246,305 and 374,424

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Solution

The third proportional to 246,305 and 374,424 is: 569,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,305 : 374,424 = 374,424 : x
  2. Step 2: Convert to fraction form
    246,305/374,424 = 374,424/x
  3. Step 3: Cross multiply
    246,305x = 374,424 × 374,424
  4. Step 4: Simplify right side
    246,305x = 140,193,331,776
  5. Step 5: Solve for x
    x = 140,193,331,776/246,305
  6. Step 6: Final answer
    x = 569,185.89

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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.