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Finding the Third Proportional to 208,715 and 444,421

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Solution

The third proportional to 208,715 and 444,421 is: 946,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,715 : 444,421 = 444,421 : x
  2. Step 2: Convert to fraction form
    208,715/444,421 = 444,421/x
  3. Step 3: Cross multiply
    208,715x = 444,421 × 444,421
  4. Step 4: Simplify right side
    208,715x = 197,510,025,241
  5. Step 5: Solve for x
    x = 197,510,025,241/208,715
  6. Step 6: Final answer
    x = 946,314.47

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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.