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Finding the Third Proportional to 236,786 and 507,268

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Solution

The third proportional to 236,786 and 507,268 is: 1,086,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,786 : 507,268 = 507,268 : x
  2. Step 2: Convert to fraction form
    236,786/507,268 = 507,268/x
  3. Step 3: Cross multiply
    236,786x = 507,268 × 507,268
  4. Step 4: Simplify right side
    236,786x = 257,320,823,824
  5. Step 5: Solve for x
    x = 257,320,823,824/236,786
  6. Step 6: Final answer
    x = 1,086,723.13

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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.