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Finding the Third Proportional to 207,930 and 449,046

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Solution

The third proportional to 207,930 and 449,046 is: 969,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930 : 449,046 = 449,046 : x
  2. Step 2: Convert to fraction form
    207,930/449,046 = 449,046/x
  3. Step 3: Cross multiply
    207,930x = 449,046 × 449,046
  4. Step 4: Simplify right side
    207,930x = 201,642,310,116
  5. Step 5: Solve for x
    x = 201,642,310,116/207,930
  6. Step 6: Final answer
    x = 969,760.54

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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.