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Finding the Third Proportional to 233,716.50 and 511,659

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Solution

The third proportional to 233,716.50 and 511,659 is: 1,120,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,716.50 : 511,659 = 511,659 : x
  2. Step 2: Convert to fraction form
    233,716.50/511,659 = 511,659/x
  3. Step 3: Cross multiply
    233,716.50x = 511,659 × 511,659
  4. Step 4: Simplify right side
    233,716.50x = 261,794,932,281
  5. Step 5: Solve for x
    x = 261,794,932,281/233,716.50
  6. Step 6: Final answer
    x = 1,120,138.85

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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.