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Finding the Third Proportional to 233,637.75 and 511,494.75

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Solution

The third proportional to 233,637.75 and 511,494.75 is: 1,119,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,637.75 : 511,494.75 = 511,494.75 : x
  2. Step 2: Convert to fraction form
    233,637.75/511,494.75 = 511,494.75/x
  3. Step 3: Cross multiply
    233,637.75x = 511,494.75 × 511,494.75
  4. Step 4: Simplify right side
    233,637.75x = 261,626,879,277.56
  5. Step 5: Solve for x
    x = 261,626,879,277.56/233,637.75
  6. Step 6: Final answer
    x = 1,119,797.12

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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.