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Finding the Third Proportional to 294,204 and 635,052

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Solution

The third proportional to 294,204 and 635,052 is: 1,370,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,204 : 635,052 = 635,052 : x
  2. Step 2: Convert to fraction form
    294,204/635,052 = 635,052/x
  3. Step 3: Cross multiply
    294,204x = 635,052 × 635,052
  4. Step 4: Simplify right side
    294,204x = 403,291,042,704
  5. Step 5: Solve for x
    x = 403,291,042,704/294,204
  6. Step 6: Final answer
    x = 1,370,787.08

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Why These Related Problems?

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