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Finding the Third Proportional to 262,380 and 562,984

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Solution

The third proportional to 262,380 and 562,984 is: 1,207,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,380 : 562,984 = 562,984 : x
  2. Step 2: Convert to fraction form
    262,380/562,984 = 562,984/x
  3. Step 3: Cross multiply
    262,380x = 562,984 × 562,984
  4. Step 4: Simplify right side
    262,380x = 316,950,984,256
  5. Step 5: Solve for x
    x = 316,950,984,256/262,380
  6. Step 6: Final answer
    x = 1,207,984.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.