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Finding the Third Proportional to 233,759 and 496,642

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Solution

The third proportional to 233,759 and 496,642 is: 1,055,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,759 : 496,642 = 496,642 : x
  2. Step 2: Convert to fraction form
    233,759/496,642 = 496,642/x
  3. Step 3: Cross multiply
    233,759x = 496,642 × 496,642
  4. Step 4: Simplify right side
    233,759x = 246,653,276,164
  5. Step 5: Solve for x
    x = 246,653,276,164/233,759
  6. Step 6: Final answer
    x = 1,055,160.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.