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Finding the Third Proportional to 635,500 and 1,323,272

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Solution

The third proportional to 635,500 and 1,323,272 is: 2,755,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,500 : 1,323,272 = 1,323,272 : x
  2. Step 2: Convert to fraction form
    635,500/1,323,272 = 1,323,272/x
  3. Step 3: Cross multiply
    635,500x = 1,323,272 × 1,323,272
  4. Step 4: Simplify right side
    635,500x = 1,751,048,785,984
  5. Step 5: Solve for x
    x = 1,751,048,785,984/635,500
  6. Step 6: Final answer
    x = 2,755,387.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.