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Finding the Third Proportional to 370,024.50 and 809,250

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Solution

The third proportional to 370,024.50 and 809,250 is: 1,769,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,024.50 : 809,250 = 809,250 : x
  2. Step 2: Convert to fraction form
    370,024.50/809,250 = 809,250/x
  3. Step 3: Cross multiply
    370,024.50x = 809,250 × 809,250
  4. Step 4: Simplify right side
    370,024.50x = 654,885,562,500
  5. Step 5: Solve for x
    x = 654,885,562,500/370,024.50
  6. Step 6: Final answer
    x = 1,769,843.79

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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.