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Finding the Third Proportional to 233,826.75 and 505,014.75

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Solution

The third proportional to 233,826.75 and 505,014.75 is: 1,090,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,826.75 : 505,014.75 = 505,014.75 : x
  2. Step 2: Convert to fraction form
    233,826.75/505,014.75 = 505,014.75/x
  3. Step 3: Cross multiply
    233,826.75x = 505,014.75 × 505,014.75
  4. Step 4: Simplify right side
    233,826.75x = 255,039,897,717.56
  5. Step 5: Solve for x
    x = 255,039,897,717.56/233,826.75
  6. Step 6: Final answer
    x = 1,090,721.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.