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Finding the Third Proportional to 372,714 and 496,575

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Solution

The third proportional to 372,714 and 496,575 is: 661,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,714 : 496,575 = 496,575 : x
  2. Step 2: Convert to fraction form
    372,714/496,575 = 496,575/x
  3. Step 3: Cross multiply
    372,714x = 496,575 × 496,575
  4. Step 4: Simplify right side
    372,714x = 246,586,730,625
  5. Step 5: Solve for x
    x = 246,586,730,625/372,714
  6. Step 6: Final answer
    x = 661,597.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.