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Finding the Third Proportional to 370,092.50 and 807,116

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Solution

The third proportional to 370,092.50 and 807,116 is: 1,760,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,092.50 : 807,116 = 807,116 : x
  2. Step 2: Convert to fraction form
    370,092.50/807,116 = 807,116/x
  3. Step 3: Cross multiply
    370,092.50x = 807,116 × 807,116
  4. Step 4: Simplify right side
    370,092.50x = 651,436,237,456
  5. Step 5: Solve for x
    x = 651,436,237,456/370,092.50
  6. Step 6: Final answer
    x = 1,760,198.43

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