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Finding the Third Proportional to 294,310 and 635,249

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Solution

The third proportional to 294,310 and 635,249 is: 1,371,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,310 : 635,249 = 635,249 : x
  2. Step 2: Convert to fraction form
    294,310/635,249 = 635,249/x
  3. Step 3: Cross multiply
    294,310x = 635,249 × 635,249
  4. Step 4: Simplify right side
    294,310x = 403,541,292,001
  5. Step 5: Solve for x
    x = 403,541,292,001/294,310
  6. Step 6: Final answer
    x = 1,371,143.66

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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.