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Finding the Third Proportional to 416,213.44 and 562,400.72

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Solution

The third proportional to 416,213.44 and 562,400.72 is: 759,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.44 : 562,400.72 = 562,400.72 : x
  2. Step 2: Convert to fraction form
    416,213.44/562,400.72 = 562,400.72/x
  3. Step 3: Cross multiply
    416,213.44x = 562,400.72 × 562,400.72
  4. Step 4: Simplify right side
    416,213.44x = 316,294,568,450.52
  5. Step 5: Solve for x
    x = 316,294,568,450.52/416,213.44
  6. Step 6: Final answer
    x = 759,933.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.