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Finding the Third Proportional to 310,943.25 and 678,168

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Solution

The third proportional to 310,943.25 and 678,168 is: 1,479,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,943.25 : 678,168 = 678,168 : x
  2. Step 2: Convert to fraction form
    310,943.25/678,168 = 678,168/x
  3. Step 3: Cross multiply
    310,943.25x = 678,168 × 678,168
  4. Step 4: Simplify right side
    310,943.25x = 459,911,836,224
  5. Step 5: Solve for x
    x = 459,911,836,224/310,943.25
  6. Step 6: Final answer
    x = 1,479,086.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.