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Finding the Third Proportional to 207,886 and 449,034

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Solution

The third proportional to 207,886 and 449,034 is: 969,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,886 : 449,034 = 449,034 : x
  2. Step 2: Convert to fraction form
    207,886/449,034 = 449,034/x
  3. Step 3: Cross multiply
    207,886x = 449,034 × 449,034
  4. Step 4: Simplify right side
    207,886x = 201,631,533,156
  5. Step 5: Solve for x
    x = 201,631,533,156/207,886
  6. Step 6: Final answer
    x = 969,913.96

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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.