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Finding the Third Proportional to 344,198.06 and 745,600.69

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Solution

The third proportional to 344,198.06 and 745,600.69 is: 1,615,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,198.06 : 745,600.69 = 745,600.69 : x
  2. Step 2: Convert to fraction form
    344,198.06/745,600.69 = 745,600.69/x
  3. Step 3: Cross multiply
    344,198.06x = 745,600.69 × 745,600.69
  4. Step 4: Simplify right side
    344,198.06x = 555,920,385,200.47
  5. Step 5: Solve for x
    x = 555,920,385,200.47/344,198.06
  6. Step 6: Final answer
    x = 1,615,117.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.