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Finding the Third Proportional to 262,480.50 and 562,137.47

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Solution

The third proportional to 262,480.50 and 562,137.47 is: 1,203,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,480.50 : 562,137.47 = 562,137.47 : x
  2. Step 2: Convert to fraction form
    262,480.50/562,137.47 = 562,137.47/x
  3. Step 3: Cross multiply
    262,480.50x = 562,137.47 × 562,137.47
  4. Step 4: Simplify right side
    262,480.50x = 315,998,533,772.66
  5. Step 5: Solve for x
    x = 315,998,533,772.66/262,480.50
  6. Step 6: Final answer
    x = 1,203,893.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.