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Finding the Third Proportional to 302,028 and 635,134

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Solution

The third proportional to 302,028 and 635,134 is: 1,335,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,028 : 635,134 = 635,134 : x
  2. Step 2: Convert to fraction form
    302,028/635,134 = 635,134/x
  3. Step 3: Cross multiply
    302,028x = 635,134 × 635,134
  4. Step 4: Simplify right side
    302,028x = 403,395,197,956
  5. Step 5: Solve for x
    x = 403,395,197,956/302,028
  6. Step 6: Final answer
    x = 1,335,621.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.