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Finding the Third Proportional to 233,755.88 and 511,850.81

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Solution

The third proportional to 233,755.88 and 511,850.81 is: 1,120,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,755.88 : 511,850.81 = 511,850.81 : x
  2. Step 2: Convert to fraction form
    233,755.88/511,850.81 = 511,850.81/x
  3. Step 3: Cross multiply
    233,755.88x = 511,850.81 × 511,850.81
  4. Step 4: Simplify right side
    233,755.88x = 261,991,254,256.91
  5. Step 5: Solve for x
    x = 261,991,254,256.91/233,755.88
  6. Step 6: Final answer
    x = 1,120,790.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.