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Finding the Third Proportional to 505,639.69 and 1,086,318.56

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Solution

The third proportional to 505,639.69 and 1,086,318.56 is: 2,333,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,639.69 : 1,086,318.56 = 1,086,318.56 : x
  2. Step 2: Convert to fraction form
    505,639.69/1,086,318.56 = 1,086,318.56/x
  3. Step 3: Cross multiply
    505,639.69x = 1,086,318.56 × 1,086,318.56
  4. Step 4: Simplify right side
    505,639.69x = 1,180,088,019,232.07
  5. Step 5: Solve for x
    x = 1,180,088,019,232.07/505,639.69
  6. Step 6: Final answer
    x = 2,333,851.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.