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Finding the Third Proportional to 353,741.50 and 763,494

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Solution

The third proportional to 353,741.50 and 763,494 is: 1,647,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,741.50 : 763,494 = 763,494 : x
  2. Step 2: Convert to fraction form
    353,741.50/763,494 = 763,494/x
  3. Step 3: Cross multiply
    353,741.50x = 763,494 × 763,494
  4. Step 4: Simplify right side
    353,741.50x = 582,923,088,036
  5. Step 5: Solve for x
    x = 582,923,088,036/353,741.50
  6. Step 6: Final answer
    x = 1,647,878.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.