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Finding the Third Proportional to 337,424 and 733,894

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Solution

The third proportional to 337,424 and 733,894 is: 1,596,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,424 : 733,894 = 733,894 : x
  2. Step 2: Convert to fraction form
    337,424/733,894 = 733,894/x
  3. Step 3: Cross multiply
    337,424x = 733,894 × 733,894
  4. Step 4: Simplify right side
    337,424x = 538,600,403,236
  5. Step 5: Solve for x
    x = 538,600,403,236/337,424
  6. Step 6: Final answer
    x = 1,596,212.49

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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.