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Finding the Third Proportional to 244,949 and 374,714

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Solution

The third proportional to 244,949 and 374,714 is: 573,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,949 : 374,714 = 374,714 : x
  2. Step 2: Convert to fraction form
    244,949/374,714 = 374,714/x
  3. Step 3: Cross multiply
    244,949x = 374,714 × 374,714
  4. Step 4: Simplify right side
    244,949x = 140,410,581,796
  5. Step 5: Solve for x
    x = 140,410,581,796/244,949
  6. Step 6: Final answer
    x = 573,223.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.