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Finding the Third Proportional to 252,279 and 379,481.63

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Solution

The third proportional to 252,279 and 379,481.63 is: 570,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,279 : 379,481.63 = 379,481.63 : x
  2. Step 2: Convert to fraction form
    252,279/379,481.63 = 379,481.63/x
  3. Step 3: Cross multiply
    252,279x = 379,481.63 × 379,481.63
  4. Step 4: Simplify right side
    252,279x = 144,006,303,712.64
  5. Step 5: Solve for x
    x = 144,006,303,712.64/252,279
  6. Step 6: Final answer
    x = 570,821.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.