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Finding the Third Proportional to 335,380.50 and 492,378.75

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Solution

The third proportional to 335,380.50 and 492,378.75 is: 722,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,380.50 : 492,378.75 = 492,378.75 : x
  2. Step 2: Convert to fraction form
    335,380.50/492,378.75 = 492,378.75/x
  3. Step 3: Cross multiply
    335,380.50x = 492,378.75 × 492,378.75
  4. Step 4: Simplify right side
    335,380.50x = 242,436,833,451.56
  5. Step 5: Solve for x
    x = 242,436,833,451.56/335,380.50
  6. Step 6: Final answer
    x = 722,870.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.