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Finding the Third Proportional to 493,195.50 and 1,077,705

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Solution

The third proportional to 493,195.50 and 1,077,705 is: 2,354,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,195.50 : 1,077,705 = 1,077,705 : x
  2. Step 2: Convert to fraction form
    493,195.50/1,077,705 = 1,077,705/x
  3. Step 3: Cross multiply
    493,195.50x = 1,077,705 × 1,077,705
  4. Step 4: Simplify right side
    493,195.50x = 1,161,448,067,025
  5. Step 5: Solve for x
    x = 1,161,448,067,025/493,195.50
  6. Step 6: Final answer
    x = 2,354,944.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.