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Finding the Third Proportional to 322,352 and 453,144

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Solution

The third proportional to 322,352 and 453,144 is: 637,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,352 : 453,144 = 453,144 : x
  2. Step 2: Convert to fraction form
    322,352/453,144 = 453,144/x
  3. Step 3: Cross multiply
    322,352x = 453,144 × 453,144
  4. Step 4: Simplify right side
    322,352x = 205,339,484,736
  5. Step 5: Solve for x
    x = 205,339,484,736/322,352
  6. Step 6: Final answer
    x = 637,003.91

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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.