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Finding the Third Proportional to 302,234 and 635,498

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Solution

The third proportional to 302,234 and 635,498 is: 1,336,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,234 : 635,498 = 635,498 : x
  2. Step 2: Convert to fraction form
    302,234/635,498 = 635,498/x
  3. Step 3: Cross multiply
    302,234x = 635,498 × 635,498
  4. Step 4: Simplify right side
    302,234x = 403,857,708,004
  5. Step 5: Solve for x
    x = 403,857,708,004/302,234
  6. Step 6: Final answer
    x = 1,336,241.81

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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.