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Finding the Third Proportional to 302,239.50 and 635,634

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Solution

The third proportional to 302,239.50 and 635,634 is: 1,336,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,239.50 : 635,634 = 635,634 : x
  2. Step 2: Convert to fraction form
    302,239.50/635,634 = 635,634/x
  3. Step 3: Cross multiply
    302,239.50x = 635,634 × 635,634
  4. Step 4: Simplify right side
    302,239.50x = 404,030,581,956
  5. Step 5: Solve for x
    x = 404,030,581,956/302,239.50
  6. Step 6: Final answer
    x = 1,336,789.47

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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.