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Finding the Third Proportional to 232,505.44 and 428,566.57

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Solution

The third proportional to 232,505.44 and 428,566.57 is: 789,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,505.44 : 428,566.57 = 428,566.57 : x
  2. Step 2: Convert to fraction form
    232,505.44/428,566.57 = 428,566.57/x
  3. Step 3: Cross multiply
    232,505.44x = 428,566.57 × 428,566.57
  4. Step 4: Simplify right side
    232,505.44x = 183,669,305,189.42
  5. Step 5: Solve for x
    x = 183,669,305,189.42/232,505.44
  6. Step 6: Final answer
    x = 789,957.03

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.