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Finding the Third Proportional to 208,719 and 444,426.75

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Solution

The third proportional to 208,719 and 444,426.75 is: 946,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,719 : 444,426.75 = 444,426.75 : x
  2. Step 2: Convert to fraction form
    208,719/444,426.75 = 444,426.75/x
  3. Step 3: Cross multiply
    208,719x = 444,426.75 × 444,426.75
  4. Step 4: Simplify right side
    208,719x = 197,515,136,115.56
  5. Step 5: Solve for x
    x = 197,515,136,115.56/208,719
  6. Step 6: Final answer
    x = 946,320.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.