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Finding the Third Proportional to 366,945.19 and 559,904.91

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Solution

The third proportional to 366,945.19 and 559,904.91 is: 854,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,945.19 : 559,904.91 = 559,904.91 : x
  2. Step 2: Convert to fraction form
    366,945.19/559,904.91 = 559,904.91/x
  3. Step 3: Cross multiply
    366,945.19x = 559,904.91 × 559,904.91
  4. Step 4: Simplify right side
    366,945.19x = 313,493,504,042.82
  5. Step 5: Solve for x
    x = 313,493,504,042.82/366,945.19
  6. Step 6: Final answer
    x = 854,333.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.