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Finding the Third Proportional to 233,743.85 and 511,824.45

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Solution

The third proportional to 233,743.85 and 511,824.45 is: 1,120,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,743.85 : 511,824.45 = 511,824.45 : x
  2. Step 2: Convert to fraction form
    233,743.85/511,824.45 = 511,824.45/x
  3. Step 3: Cross multiply
    233,743.85x = 511,824.45 × 511,824.45
  4. Step 4: Simplify right side
    233,743.85x = 261,964,262,819.45
  5. Step 5: Solve for x
    x = 261,964,262,819.45/233,743.85
  6. Step 6: Final answer
    x = 1,120,732.21

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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.