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Finding the Third Proportional to 229,482 and 322,589.25

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Solution

The third proportional to 229,482 and 322,589.25 is: 453,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,482 : 322,589.25 = 322,589.25 : x
  2. Step 2: Convert to fraction form
    229,482/322,589.25 = 322,589.25/x
  3. Step 3: Cross multiply
    229,482x = 322,589.25 × 322,589.25
  4. Step 4: Simplify right side
    229,482x = 104,063,824,215.56
  5. Step 5: Solve for x
    x = 104,063,824,215.56/229,482
  6. Step 6: Final answer
    x = 453,472.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.