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Finding the Third Proportional to 214,095 and 461,079

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Solution

The third proportional to 214,095 and 461,079 is: 992,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,095 : 461,079 = 461,079 : x
  2. Step 2: Convert to fraction form
    214,095/461,079 = 461,079/x
  3. Step 3: Cross multiply
    214,095x = 461,079 × 461,079
  4. Step 4: Simplify right side
    214,095x = 212,593,844,241
  5. Step 5: Solve for x
    x = 212,593,844,241/214,095
  6. Step 6: Final answer
    x = 992,988.37

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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.