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Finding the Third Proportional to 370,671.19 and 809,310.94

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Solution

The third proportional to 370,671.19 and 809,310.94 is: 1,767,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,671.19 : 809,310.94 = 809,310.94 : x
  2. Step 2: Convert to fraction form
    370,671.19/809,310.94 = 809,310.94/x
  3. Step 3: Cross multiply
    370,671.19x = 809,310.94 × 809,310.94
  4. Step 4: Simplify right side
    370,671.19x = 654,984,193,557.13
  5. Step 5: Solve for x
    x = 654,984,193,557.13/370,671.19
  6. Step 6: Final answer
    x = 1,767,022.14

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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.