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Finding the Third Proportional to 209,234 and 453,892

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Solution

The third proportional to 209,234 and 453,892 is: 984,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,234 : 453,892 = 453,892 : x
  2. Step 2: Convert to fraction form
    209,234/453,892 = 453,892/x
  3. Step 3: Cross multiply
    209,234x = 453,892 × 453,892
  4. Step 4: Simplify right side
    209,234x = 206,017,947,664
  5. Step 5: Solve for x
    x = 206,017,947,664/209,234
  6. Step 6: Final answer
    x = 984,629.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.