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Finding the Third Proportional to 233,743.50 and 496,647

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Solution

The third proportional to 233,743.50 and 496,647 is: 1,055,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,743.50 : 496,647 = 496,647 : x
  2. Step 2: Convert to fraction form
    233,743.50/496,647 = 496,647/x
  3. Step 3: Cross multiply
    233,743.50x = 496,647 × 496,647
  4. Step 4: Simplify right side
    233,743.50x = 246,658,242,609
  5. Step 5: Solve for x
    x = 246,658,242,609/233,743.50
  6. Step 6: Final answer
    x = 1,055,251.77

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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.