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Finding the Third Proportional to 212,809.50 and 467,079.75

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Solution

The third proportional to 212,809.50 and 467,079.75 is: 1,025,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.50 : 467,079.75 = 467,079.75 : x
  2. Step 2: Convert to fraction form
    212,809.50/467,079.75 = 467,079.75/x
  3. Step 3: Cross multiply
    212,809.50x = 467,079.75 × 467,079.75
  4. Step 4: Simplify right side
    212,809.50x = 218,163,492,860.06
  5. Step 5: Solve for x
    x = 218,163,492,860.06/212,809.50
  6. Step 6: Final answer
    x = 1,025,158.62

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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.