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Finding the Third Proportional to 207,894 and 449,048

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Solution

The third proportional to 207,894 and 449,048 is: 969,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,894 : 449,048 = 449,048 : x
  2. Step 2: Convert to fraction form
    207,894/449,048 = 449,048/x
  3. Step 3: Cross multiply
    207,894x = 449,048 × 449,048
  4. Step 4: Simplify right side
    207,894x = 201,644,106,304
  5. Step 5: Solve for x
    x = 201,644,106,304/207,894
  6. Step 6: Final answer
    x = 969,937.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.