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Finding the Third Proportional to 294,228 and 635,108

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Solution

The third proportional to 294,228 and 635,108 is: 1,370,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,228 : 635,108 = 635,108 : x
  2. Step 2: Convert to fraction form
    294,228/635,108 = 635,108/x
  3. Step 3: Cross multiply
    294,228x = 635,108 × 635,108
  4. Step 4: Simplify right side
    294,228x = 403,362,171,664
  5. Step 5: Solve for x
    x = 403,362,171,664/294,228
  6. Step 6: Final answer
    x = 1,370,917.02

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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.