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Finding the Third Proportional to 727,825.50 and 1,579,344.75

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Solution

The third proportional to 727,825.50 and 1,579,344.75 is: 3,427,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,825.50 : 1,579,344.75 = 1,579,344.75 : x
  2. Step 2: Convert to fraction form
    727,825.50/1,579,344.75 = 1,579,344.75/x
  3. Step 3: Cross multiply
    727,825.50x = 1,579,344.75 × 1,579,344.75
  4. Step 4: Simplify right side
    727,825.50x = 2,494,329,839,352.56
  5. Step 5: Solve for x
    x = 2,494,329,839,352.56/727,825.50
  6. Step 6: Final answer
    x = 3,427,098.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.