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Finding the Third Proportional to 531,945.98 and 796,039.52

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Solution

The third proportional to 531,945.98 and 796,039.52 is: 1,191,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,945.98 : 796,039.52 = 796,039.52 : x
  2. Step 2: Convert to fraction form
    531,945.98/796,039.52 = 796,039.52/x
  3. Step 3: Cross multiply
    531,945.98x = 796,039.52 × 796,039.52
  4. Step 4: Simplify right side
    531,945.98x = 633,678,922,874.60
  5. Step 5: Solve for x
    x = 633,678,922,874.60/531,945.98
  6. Step 6: Final answer
    x = 1,191,246.75

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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.