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Finding the Third Proportional to 321,730 and 635,377

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Solution

The third proportional to 321,730 and 635,377 is: 1,254,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,730 : 635,377 = 635,377 : x
  2. Step 2: Convert to fraction form
    321,730/635,377 = 635,377/x
  3. Step 3: Cross multiply
    321,730x = 635,377 × 635,377
  4. Step 4: Simplify right side
    321,730x = 403,703,932,129
  5. Step 5: Solve for x
    x = 403,703,932,129/321,730
  6. Step 6: Final answer
    x = 1,254,791.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.