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Finding the Third Proportional to 302,238 and 635,625

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Solution

The third proportional to 302,238 and 635,625 is: 1,336,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,238 : 635,625 = 635,625 : x
  2. Step 2: Convert to fraction form
    302,238/635,625 = 635,625/x
  3. Step 3: Cross multiply
    302,238x = 635,625 × 635,625
  4. Step 4: Simplify right side
    302,238x = 404,019,140,625
  5. Step 5: Solve for x
    x = 404,019,140,625/302,238
  6. Step 6: Final answer
    x = 1,336,758.25

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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.