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Finding the Third Proportional to 236,773.13 and 507,201.75

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Solution

The third proportional to 236,773.13 and 507,201.75 is: 1,086,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,773.13 : 507,201.75 = 507,201.75 : x
  2. Step 2: Convert to fraction form
    236,773.13/507,201.75 = 507,201.75/x
  3. Step 3: Cross multiply
    236,773.13x = 507,201.75 × 507,201.75
  4. Step 4: Simplify right side
    236,773.13x = 257,253,615,203.06
  5. Step 5: Solve for x
    x = 257,253,615,203.06/236,773.13
  6. Step 6: Final answer
    x = 1,086,498.37

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