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Finding the Third Proportional to 233,201 and 515,406.75

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Solution

The third proportional to 233,201 and 515,406.75 is: 1,139,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,201 : 515,406.75 = 515,406.75 : x
  2. Step 2: Convert to fraction form
    233,201/515,406.75 = 515,406.75/x
  3. Step 3: Cross multiply
    233,201x = 515,406.75 × 515,406.75
  4. Step 4: Simplify right side
    233,201x = 265,644,117,945.56
  5. Step 5: Solve for x
    x = 265,644,117,945.56/233,201
  6. Step 6: Final answer
    x = 1,139,120.84

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.