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Finding the Third Proportional to 354,783 and 535,846.50

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Solution

The third proportional to 354,783 and 535,846.50 is: 809,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,783 : 535,846.50 = 535,846.50 : x
  2. Step 2: Convert to fraction form
    354,783/535,846.50 = 535,846.50/x
  3. Step 3: Cross multiply
    354,783x = 535,846.50 × 535,846.50
  4. Step 4: Simplify right side
    354,783x = 287,131,471,562.25
  5. Step 5: Solve for x
    x = 287,131,471,562.25/354,783
  6. Step 6: Final answer
    x = 809,315.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.