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Finding the Third Proportional to 209,232 and 453,226

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Solution

The third proportional to 209,232 and 453,226 is: 981,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,232 : 453,226 = 453,226 : x
  2. Step 2: Convert to fraction form
    209,232/453,226 = 453,226/x
  3. Step 3: Cross multiply
    209,232x = 453,226 × 453,226
  4. Step 4: Simplify right side
    209,232x = 205,413,807,076
  5. Step 5: Solve for x
    x = 205,413,807,076/209,232
  6. Step 6: Final answer
    x = 981,751.39

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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.