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Finding the Third Proportional to 354,983 and 764,098

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Solution

The third proportional to 354,983 and 764,098 is: 1,644,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,983 : 764,098 = 764,098 : x
  2. Step 2: Convert to fraction form
    354,983/764,098 = 764,098/x
  3. Step 3: Cross multiply
    354,983x = 764,098 × 764,098
  4. Step 4: Simplify right side
    354,983x = 583,845,753,604
  5. Step 5: Solve for x
    x = 583,845,753,604/354,983
  6. Step 6: Final answer
    x = 1,644,714.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.