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Finding the Third Proportional to 350,945 and 501,864

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Solution

The third proportional to 350,945 and 501,864 is: 717,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,945 : 501,864 = 501,864 : x
  2. Step 2: Convert to fraction form
    350,945/501,864 = 501,864/x
  3. Step 3: Cross multiply
    350,945x = 501,864 × 501,864
  4. Step 4: Simplify right side
    350,945x = 251,867,474,496
  5. Step 5: Solve for x
    x = 251,867,474,496/350,945
  6. Step 6: Final answer
    x = 717,683.61

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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.