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Finding the Third Proportional to 233,530 and 374,593

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Solution

The third proportional to 233,530 and 374,593 is: 600,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,530 : 374,593 = 374,593 : x
  2. Step 2: Convert to fraction form
    233,530/374,593 = 374,593/x
  3. Step 3: Cross multiply
    233,530x = 374,593 × 374,593
  4. Step 4: Simplify right side
    233,530x = 140,319,915,649
  5. Step 5: Solve for x
    x = 140,319,915,649/233,530
  6. Step 6: Final answer
    x = 600,864.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.