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Finding the Third Proportional to 505,321.03 and 1,094,737.78

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Solution

The third proportional to 505,321.03 and 1,094,737.78 is: 2,371,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,321.03 : 1,094,737.78 = 1,094,737.78 : x
  2. Step 2: Convert to fraction form
    505,321.03/1,094,737.78 = 1,094,737.78/x
  3. Step 3: Cross multiply
    505,321.03x = 1,094,737.78 × 1,094,737.78
  4. Step 4: Simplify right side
    505,321.03x = 1,198,450,809,696.17
  5. Step 5: Solve for x
    x = 1,198,450,809,696.17/505,321.03
  6. Step 6: Final answer
    x = 2,371,662.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.