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Finding the Third Proportional to 210,427 and 451,004

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Solution

The third proportional to 210,427 and 451,004 is: 966,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,427 : 451,004 = 451,004 : x
  2. Step 2: Convert to fraction form
    210,427/451,004 = 451,004/x
  3. Step 3: Cross multiply
    210,427x = 451,004 × 451,004
  4. Step 4: Simplify right side
    210,427x = 203,404,608,016
  5. Step 5: Solve for x
    x = 203,404,608,016/210,427
  6. Step 6: Final answer
    x = 966,627.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.