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Finding the Third Proportional to 299,377 and 632,471

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Solution

The third proportional to 299,377 and 632,471 is: 1,336,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,377 : 632,471 = 632,471 : x
  2. Step 2: Convert to fraction form
    299,377/632,471 = 632,471/x
  3. Step 3: Cross multiply
    299,377x = 632,471 × 632,471
  4. Step 4: Simplify right side
    299,377x = 400,019,565,841
  5. Step 5: Solve for x
    x = 400,019,565,841/299,377
  6. Step 6: Final answer
    x = 1,336,173.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.