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Finding the Third Proportional to 233,885 and 513,799

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Solution

The third proportional to 233,885 and 513,799 is: 1,128,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,885 : 513,799 = 513,799 : x
  2. Step 2: Convert to fraction form
    233,885/513,799 = 513,799/x
  3. Step 3: Cross multiply
    233,885x = 513,799 × 513,799
  4. Step 4: Simplify right side
    233,885x = 263,989,412,401
  5. Step 5: Solve for x
    x = 263,989,412,401/233,885
  6. Step 6: Final answer
    x = 1,128,714.59

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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.