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Finding the Third Proportional to 322,272 and 453,024

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Solution

The third proportional to 322,272 and 453,024 is: 636,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,272 : 453,024 = 453,024 : x
  2. Step 2: Convert to fraction form
    322,272/453,024 = 453,024/x
  3. Step 3: Cross multiply
    322,272x = 453,024 × 453,024
  4. Step 4: Simplify right side
    322,272x = 205,230,744,576
  5. Step 5: Solve for x
    x = 205,230,744,576/322,272
  6. Step 6: Final answer
    x = 636,824.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.