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Finding the Third Proportional to 376,497.75 and 807,589.50

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Solution

The third proportional to 376,497.75 and 807,589.50 is: 1,732,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,497.75 : 807,589.50 = 807,589.50 : x
  2. Step 2: Convert to fraction form
    376,497.75/807,589.50 = 807,589.50/x
  3. Step 3: Cross multiply
    376,497.75x = 807,589.50 × 807,589.50
  4. Step 4: Simplify right side
    376,497.75x = 652,200,800,510.25
  5. Step 5: Solve for x
    x = 652,200,800,510.25/376,497.75
  6. Step 6: Final answer
    x = 1,732,283.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.