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Finding the Third Proportional to 233,822 and 515,308

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Solution

The third proportional to 233,822 and 515,308 is: 1,135,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,822 : 515,308 = 515,308 : x
  2. Step 2: Convert to fraction form
    233,822/515,308 = 515,308/x
  3. Step 3: Cross multiply
    233,822x = 515,308 × 515,308
  4. Step 4: Simplify right side
    233,822x = 265,542,334,864
  5. Step 5: Solve for x
    x = 265,542,334,864/233,822
  6. Step 6: Final answer
    x = 1,135,660.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.