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Finding the Third Proportional to 305,367.47 and 449,162.72

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Solution

The third proportional to 305,367.47 and 449,162.72 is: 660,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,367.47 : 449,162.72 = 449,162.72 : x
  2. Step 2: Convert to fraction form
    305,367.47/449,162.72 = 449,162.72/x
  3. Step 3: Cross multiply
    305,367.47x = 449,162.72 × 449,162.72
  4. Step 4: Simplify right side
    305,367.47x = 201,747,147,914.89
  5. Step 5: Solve for x
    x = 201,747,147,914.89/305,367.47
  6. Step 6: Final answer
    x = 660,670.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.