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Finding the Third Proportional to 444,540 and 635,237

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Solution

The third proportional to 444,540 and 635,237 is: 907,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,540 : 635,237 = 635,237 : x
  2. Step 2: Convert to fraction form
    444,540/635,237 = 635,237/x
  3. Step 3: Cross multiply
    444,540x = 635,237 × 635,237
  4. Step 4: Simplify right side
    444,540x = 403,526,046,169
  5. Step 5: Solve for x
    x = 403,526,046,169/444,540
  6. Step 6: Final answer
    x = 907,738.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.