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Finding the Third Proportional to 214,094 and 461,074

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Solution

The third proportional to 214,094 and 461,074 is: 992,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,094 : 461,074 = 461,074 : x
  2. Step 2: Convert to fraction form
    214,094/461,074 = 461,074/x
  3. Step 3: Cross multiply
    214,094x = 461,074 × 461,074
  4. Step 4: Simplify right side
    214,094x = 212,589,233,476
  5. Step 5: Solve for x
    x = 212,589,233,476/214,094
  6. Step 6: Final answer
    x = 992,971.47

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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.