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Finding the Third Proportional to 211,793.06 and 322,653.38

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Solution

The third proportional to 211,793.06 and 322,653.38 is: 491,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,793.06 : 322,653.38 = 322,653.38 : x
  2. Step 2: Convert to fraction form
    211,793.06/322,653.38 = 322,653.38/x
  3. Step 3: Cross multiply
    211,793.06x = 322,653.38 × 322,653.38
  4. Step 4: Simplify right side
    211,793.06x = 104,105,200,398.89
  5. Step 5: Solve for x
    x = 104,105,200,398.89/211,793.06
  6. Step 6: Final answer
    x = 491,542.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.