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Finding the Third Proportional to 233,544 and 513,744

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Solution

The third proportional to 233,544 and 513,744 is: 1,130,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,544 : 513,744 = 513,744 : x
  2. Step 2: Convert to fraction form
    233,544/513,744 = 513,744/x
  3. Step 3: Cross multiply
    233,544x = 513,744 × 513,744
  4. Step 4: Simplify right side
    233,544x = 263,932,897,536
  5. Step 5: Solve for x
    x = 263,932,897,536/233,544
  6. Step 6: Final answer
    x = 1,130,120.65

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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.