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Finding the Third Proportional to 263,839.18 and 576,065.63

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Solution

The third proportional to 263,839.18 and 576,065.63 is: 1,257,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,839.18 : 576,065.63 = 576,065.63 : x
  2. Step 2: Convert to fraction form
    263,839.18/576,065.63 = 576,065.63/x
  3. Step 3: Cross multiply
    263,839.18x = 576,065.63 × 576,065.63
  4. Step 4: Simplify right side
    263,839.18x = 331,851,611,321.18
  5. Step 5: Solve for x
    x = 331,851,611,321.18/263,839.18
  6. Step 6: Final answer
    x = 1,257,779.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.