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Finding the Third Proportional to 375,906.38 and 810,497.25

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Solution

The third proportional to 375,906.38 and 810,497.25 is: 1,747,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,906.38 : 810,497.25 = 810,497.25 : x
  2. Step 2: Convert to fraction form
    375,906.38/810,497.25 = 810,497.25/x
  3. Step 3: Cross multiply
    375,906.38x = 810,497.25 × 810,497.25
  4. Step 4: Simplify right side
    375,906.38x = 656,905,792,257.56
  5. Step 5: Solve for x
    x = 656,905,792,257.56/375,906.38
  6. Step 6: Final answer
    x = 1,747,525.01

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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.