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Finding the Third Proportional to 231,849 and 481,464

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Solution

The third proportional to 231,849 and 481,464 is: 999,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,849 : 481,464 = 481,464 : x
  2. Step 2: Convert to fraction form
    231,849/481,464 = 481,464/x
  3. Step 3: Cross multiply
    231,849x = 481,464 × 481,464
  4. Step 4: Simplify right side
    231,849x = 231,807,583,296
  5. Step 5: Solve for x
    x = 231,807,583,296/231,849
  6. Step 6: Final answer
    x = 999,821.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.