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Finding the Third Proportional to 206,349.75 and 452,808.56

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Solution

The third proportional to 206,349.75 and 452,808.56 is: 993,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,349.75 : 452,808.56 = 452,808.56 : x
  2. Step 2: Convert to fraction form
    206,349.75/452,808.56 = 452,808.56/x
  3. Step 3: Cross multiply
    206,349.75x = 452,808.56 × 452,808.56
  4. Step 4: Simplify right side
    206,349.75x = 205,035,594,273.32
  5. Step 5: Solve for x
    x = 205,035,594,273.32/206,349.75
  6. Step 6: Final answer
    x = 993,631.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.