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Finding the Third Proportional to 505,434.94 and 1,099,438.31

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Solution

The third proportional to 505,434.94 and 1,099,438.31 is: 2,391,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,434.94 : 1,099,438.31 = 1,099,438.31 : x
  2. Step 2: Convert to fraction form
    505,434.94/1,099,438.31 = 1,099,438.31/x
  3. Step 3: Cross multiply
    505,434.94x = 1,099,438.31 × 1,099,438.31
  4. Step 4: Simplify right side
    505,434.94x = 1,208,764,602,992.85
  5. Step 5: Solve for x
    x = 1,208,764,602,992.85/505,434.94
  6. Step 6: Final answer
    x = 2,391,533.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.