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Finding the Third Proportional to 208,721 and 444,431

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Solution

The third proportional to 208,721 and 444,431 is: 946,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,721 : 444,431 = 444,431 : x
  2. Step 2: Convert to fraction form
    208,721/444,431 = 444,431/x
  3. Step 3: Cross multiply
    208,721x = 444,431 × 444,431
  4. Step 4: Simplify right side
    208,721x = 197,518,913,761
  5. Step 5: Solve for x
    x = 197,518,913,761/208,721
  6. Step 6: Final answer
    x = 946,329.86

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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.