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Finding the Third Proportional to 302,238 and 635,499

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Solution

The third proportional to 302,238 and 635,499 is: 1,336,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,238 : 635,499 = 635,499 : x
  2. Step 2: Convert to fraction form
    302,238/635,499 = 635,499/x
  3. Step 3: Cross multiply
    302,238x = 635,499 × 635,499
  4. Step 4: Simplify right side
    302,238x = 403,858,979,001
  5. Step 5: Solve for x
    x = 403,858,979,001/302,238
  6. Step 6: Final answer
    x = 1,336,228.33

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