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Finding the Third Proportional to 405,649.69 and 619,201.13

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Solution

The third proportional to 405,649.69 and 619,201.13 is: 945,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,649.69 : 619,201.13 = 619,201.13 : x
  2. Step 2: Convert to fraction form
    405,649.69/619,201.13 = 619,201.13/x
  3. Step 3: Cross multiply
    405,649.69x = 619,201.13 × 619,201.13
  4. Step 4: Simplify right side
    405,649.69x = 383,410,033,201.27
  5. Step 5: Solve for x
    x = 383,410,033,201.27/405,649.69
  6. Step 6: Final answer
    x = 945,175.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.