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Finding the Third Proportional to 345,249.84 and 753,227.86

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Solution

The third proportional to 345,249.84 and 753,227.86 is: 1,643,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,249.84 : 753,227.86 = 753,227.86 : x
  2. Step 2: Convert to fraction form
    345,249.84/753,227.86 = 753,227.86/x
  3. Step 3: Cross multiply
    345,249.84x = 753,227.86 × 753,227.86
  4. Step 4: Simplify right side
    345,249.84x = 567,352,208,138.65
  5. Step 5: Solve for x
    x = 567,352,208,138.65/345,249.84
  6. Step 6: Final answer
    x = 1,643,309.09

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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.