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Finding the Third Proportional to 347,738.06 and 733,353.75

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Solution

The third proportional to 347,738.06 and 733,353.75 is: 1,546,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,738.06 : 733,353.75 = 733,353.75 : x
  2. Step 2: Convert to fraction form
    347,738.06/733,353.75 = 733,353.75/x
  3. Step 3: Cross multiply
    347,738.06x = 733,353.75 × 733,353.75
  4. Step 4: Simplify right side
    347,738.06x = 537,807,722,639.06
  5. Step 5: Solve for x
    x = 537,807,722,639.06/347,738.06
  6. Step 6: Final answer
    x = 1,546,588.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.