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Finding the Third Proportional to 214,096 and 461,078

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Solution

The third proportional to 214,096 and 461,078 is: 992,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,096 : 461,078 = 461,078 : x
  2. Step 2: Convert to fraction form
    214,096/461,078 = 461,078/x
  3. Step 3: Cross multiply
    214,096x = 461,078 × 461,078
  4. Step 4: Simplify right side
    214,096x = 212,592,922,084
  5. Step 5: Solve for x
    x = 212,592,922,084/214,096
  6. Step 6: Final answer
    x = 992,979.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.