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Finding the Third Proportional to 335,220.19 and 733,105.69

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Solution

The third proportional to 335,220.19 and 733,105.69 is: 1,603,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,220.19 : 733,105.69 = 733,105.69 : x
  2. Step 2: Convert to fraction form
    335,220.19/733,105.69 = 733,105.69/x
  3. Step 3: Cross multiply
    335,220.19x = 733,105.69 × 733,105.69
  4. Step 4: Simplify right side
    335,220.19x = 537,443,949,044.85
  5. Step 5: Solve for x
    x = 537,443,949,044.85/335,220.19
  6. Step 6: Final answer
    x = 1,603,256.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.