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Finding the Third Proportional to 288,405 and 621,184.50

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Solution

The third proportional to 288,405 and 621,184.50 is: 1,337,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,405 : 621,184.50 = 621,184.50 : x
  2. Step 2: Convert to fraction form
    288,405/621,184.50 = 621,184.50/x
  3. Step 3: Cross multiply
    288,405x = 621,184.50 × 621,184.50
  4. Step 4: Simplify right side
    288,405x = 385,870,183,040.25
  5. Step 5: Solve for x
    x = 385,870,183,040.25/288,405
  6. Step 6: Final answer
    x = 1,337,945.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.