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Finding the Third Proportional to 371,263.50 and 809,190

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Solution

The third proportional to 371,263.50 and 809,190 is: 1,763,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,263.50 : 809,190 = 809,190 : x
  2. Step 2: Convert to fraction form
    371,263.50/809,190 = 809,190/x
  3. Step 3: Cross multiply
    371,263.50x = 809,190 × 809,190
  4. Step 4: Simplify right side
    371,263.50x = 654,788,456,100
  5. Step 5: Solve for x
    x = 654,788,456,100/371,263.50
  6. Step 6: Final answer
    x = 1,763,675.82

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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.