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Finding the Third Proportional to 405,305.44 and 621,695.25

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Solution

The third proportional to 405,305.44 and 621,695.25 is: 953,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,305.44 : 621,695.25 = 621,695.25 : x
  2. Step 2: Convert to fraction form
    405,305.44/621,695.25 = 621,695.25/x
  3. Step 3: Cross multiply
    405,305.44x = 621,695.25 × 621,695.25
  4. Step 4: Simplify right side
    405,305.44x = 386,504,983,872.56
  5. Step 5: Solve for x
    x = 386,504,983,872.56/405,305.44
  6. Step 6: Final answer
    x = 953,614.11

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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.