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Finding the Third Proportional to 294,186 and 635,028

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Solution

The third proportional to 294,186 and 635,028 is: 1,370,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,186 : 635,028 = 635,028 : x
  2. Step 2: Convert to fraction form
    294,186/635,028 = 635,028/x
  3. Step 3: Cross multiply
    294,186x = 635,028 × 635,028
  4. Step 4: Simplify right side
    294,186x = 403,260,560,784
  5. Step 5: Solve for x
    x = 403,260,560,784/294,186
  6. Step 6: Final answer
    x = 1,370,767.34

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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.