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Finding the Third Proportional to 294,196 and 635,036

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Solution

The third proportional to 294,196 and 635,036 is: 1,370,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,196 : 635,036 = 635,036 : x
  2. Step 2: Convert to fraction form
    294,196/635,036 = 635,036/x
  3. Step 3: Cross multiply
    294,196x = 635,036 × 635,036
  4. Step 4: Simplify right side
    294,196x = 403,270,721,296
  5. Step 5: Solve for x
    x = 403,270,721,296/294,196
  6. Step 6: Final answer
    x = 1,370,755.28

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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.