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Finding the Third Proportional to 214,097 and 461,083

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Solution

The third proportional to 214,097 and 461,083 is: 992,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097 : 461,083 = 461,083 : x
  2. Step 2: Convert to fraction form
    214,097/461,083 = 461,083/x
  3. Step 3: Cross multiply
    214,097x = 461,083 × 461,083
  4. Step 4: Simplify right side
    214,097x = 212,597,532,889
  5. Step 5: Solve for x
    x = 212,597,532,889/214,097
  6. Step 6: Final answer
    x = 992,996.32

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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.