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Finding the Third Proportional to 315,493.50 and 684,019.50

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Solution

The third proportional to 315,493.50 and 684,019.50 is: 1,483,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,493.50 : 684,019.50 = 684,019.50 : x
  2. Step 2: Convert to fraction form
    315,493.50/684,019.50 = 684,019.50/x
  3. Step 3: Cross multiply
    315,493.50x = 684,019.50 × 684,019.50
  4. Step 4: Simplify right side
    315,493.50x = 467,882,676,380.25
  5. Step 5: Solve for x
    x = 467,882,676,380.25/315,493.50
  6. Step 6: Final answer
    x = 1,483,018.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.