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Finding the Third Proportional to 233,778 and 511,296

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Solution

The third proportional to 233,778 and 511,296 is: 1,118,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,778 : 511,296 = 511,296 : x
  2. Step 2: Convert to fraction form
    233,778/511,296 = 511,296/x
  3. Step 3: Cross multiply
    233,778x = 511,296 × 511,296
  4. Step 4: Simplify right side
    233,778x = 261,423,599,616
  5. Step 5: Solve for x
    x = 261,423,599,616/233,778
  6. Step 6: Final answer
    x = 1,118,255.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.