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Finding the Third Proportional to 293,257.13 and 635,284.69

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Solution

The third proportional to 293,257.13 and 635,284.69 is: 1,376,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,257.13 : 635,284.69 = 635,284.69 : x
  2. Step 2: Convert to fraction form
    293,257.13/635,284.69 = 635,284.69/x
  3. Step 3: Cross multiply
    293,257.13x = 635,284.69 × 635,284.69
  4. Step 4: Simplify right side
    293,257.13x = 403,586,634,171.97
  5. Step 5: Solve for x
    x = 403,586,634,171.97/293,257.13
  6. Step 6: Final answer
    x = 1,376,221.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.