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Finding the Third Proportional to 236,800 and 507,296

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Solution

The third proportional to 236,800 and 507,296 is: 1,086,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,800 : 507,296 = 507,296 : x
  2. Step 2: Convert to fraction form
    236,800/507,296 = 507,296/x
  3. Step 3: Cross multiply
    236,800x = 507,296 × 507,296
  4. Step 4: Simplify right side
    236,800x = 257,349,231,616
  5. Step 5: Solve for x
    x = 257,349,231,616/236,800
  6. Step 6: Final answer
    x = 1,086,778.85

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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.