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Finding the Third Proportional to 207,878 and 449,018

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Solution

The third proportional to 207,878 and 449,018 is: 969,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,878 : 449,018 = 449,018 : x
  2. Step 2: Convert to fraction form
    207,878/449,018 = 449,018/x
  3. Step 3: Cross multiply
    207,878x = 449,018 × 449,018
  4. Step 4: Simplify right side
    207,878x = 201,617,164,324
  5. Step 5: Solve for x
    x = 201,617,164,324/207,878
  6. Step 6: Final answer
    x = 969,882.16

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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.