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Finding the Third Proportional to 209,336 and 453,424

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Solution

The third proportional to 209,336 and 453,424 is: 982,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,336 : 453,424 = 453,424 : x
  2. Step 2: Convert to fraction form
    209,336/453,424 = 453,424/x
  3. Step 3: Cross multiply
    209,336x = 453,424 × 453,424
  4. Step 4: Simplify right side
    209,336x = 205,593,323,776
  5. Step 5: Solve for x
    x = 205,593,323,776/209,336
  6. Step 6: Final answer
    x = 982,121.20

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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.