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Finding the Third Proportional to 274,920.33 and 384,069.09

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Solution

The third proportional to 274,920.33 and 384,069.09 is: 536,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,920.33 : 384,069.09 = 384,069.09 : x
  2. Step 2: Convert to fraction form
    274,920.33/384,069.09 = 384,069.09/x
  3. Step 3: Cross multiply
    274,920.33x = 384,069.09 × 384,069.09
  4. Step 4: Simplify right side
    274,920.33x = 147,509,068,773.95
  5. Step 5: Solve for x
    x = 147,509,068,773.95/274,920.33
  6. Step 6: Final answer
    x = 536,552.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.