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Finding the Third Proportional to 361,072.69 and 557,178.75

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Solution

The third proportional to 361,072.69 and 557,178.75 is: 859,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,072.69 : 557,178.75 = 557,178.75 : x
  2. Step 2: Convert to fraction form
    361,072.69/557,178.75 = 557,178.75/x
  3. Step 3: Cross multiply
    361,072.69x = 557,178.75 × 557,178.75
  4. Step 4: Simplify right side
    361,072.69x = 310,448,159,451.56
  5. Step 5: Solve for x
    x = 310,448,159,451.56/361,072.69
  6. Step 6: Final answer
    x = 859,794.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.