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Finding the Third Proportional to 453,222 and 667,305

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Solution

The third proportional to 453,222 and 667,305 is: 982,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,222 : 667,305 = 667,305 : x
  2. Step 2: Convert to fraction form
    453,222/667,305 = 667,305/x
  3. Step 3: Cross multiply
    453,222x = 667,305 × 667,305
  4. Step 4: Simplify right side
    453,222x = 445,295,963,025
  5. Step 5: Solve for x
    x = 445,295,963,025/453,222
  6. Step 6: Final answer
    x = 982,511.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.