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Finding the Third Proportional to 291,631.69 and 606,542.44

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Solution

The third proportional to 291,631.69 and 606,542.44 is: 1,261,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,631.69 : 606,542.44 = 606,542.44 : x
  2. Step 2: Convert to fraction form
    291,631.69/606,542.44 = 606,542.44/x
  3. Step 3: Cross multiply
    291,631.69x = 606,542.44 × 606,542.44
  4. Step 4: Simplify right side
    291,631.69x = 367,893,728,488.44
  5. Step 5: Solve for x
    x = 367,893,728,488.44/291,631.69
  6. Step 6: Final answer
    x = 1,261,501.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.