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Finding the Third Proportional to 270,787.50 and 405,598.50

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Solution

The third proportional to 270,787.50 and 405,598.50 is: 607,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,787.50 : 405,598.50 = 405,598.50 : x
  2. Step 2: Convert to fraction form
    270,787.50/405,598.50 = 405,598.50/x
  3. Step 3: Cross multiply
    270,787.50x = 405,598.50 × 405,598.50
  4. Step 4: Simplify right side
    270,787.50x = 164,510,143,202.25
  5. Step 5: Solve for x
    x = 164,510,143,202.25/270,787.50
  6. Step 6: Final answer
    x = 607,524.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.