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Finding the Third Proportional to 294,285 and 635,226

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Solution

The third proportional to 294,285 and 635,226 is: 1,371,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,285 : 635,226 = 635,226 : x
  2. Step 2: Convert to fraction form
    294,285/635,226 = 635,226/x
  3. Step 3: Cross multiply
    294,285x = 635,226 × 635,226
  4. Step 4: Simplify right side
    294,285x = 403,512,071,076
  5. Step 5: Solve for x
    x = 403,512,071,076/294,285
  6. Step 6: Final answer
    x = 1,371,160.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.