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Finding the Third Proportional to 294,188 and 635,020

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Solution

The third proportional to 294,188 and 635,020 is: 1,370,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,188 : 635,020 = 635,020 : x
  2. Step 2: Convert to fraction form
    294,188/635,020 = 635,020/x
  3. Step 3: Cross multiply
    294,188x = 635,020 × 635,020
  4. Step 4: Simplify right side
    294,188x = 403,250,400,400
  5. Step 5: Solve for x
    x = 403,250,400,400/294,188
  6. Step 6: Final answer
    x = 1,370,723.48

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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.