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Finding the Third Proportional to 370,022.75 and 809,246.50

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Solution

The third proportional to 370,022.75 and 809,246.50 is: 1,769,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,022.75 : 809,246.50 = 809,246.50 : x
  2. Step 2: Convert to fraction form
    370,022.75/809,246.50 = 809,246.50/x
  3. Step 3: Cross multiply
    370,022.75x = 809,246.50 × 809,246.50
  4. Step 4: Simplify right side
    370,022.75x = 654,879,897,762.25
  5. Step 5: Solve for x
    x = 654,879,897,762.25/370,022.75
  6. Step 6: Final answer
    x = 1,769,836.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.