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Finding the Third Proportional to 314,232.75 and 678,280.50

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Solution

The third proportional to 314,232.75 and 678,280.50 is: 1,464,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,232.75 : 678,280.50 = 678,280.50 : x
  2. Step 2: Convert to fraction form
    314,232.75/678,280.50 = 678,280.50/x
  3. Step 3: Cross multiply
    314,232.75x = 678,280.50 × 678,280.50
  4. Step 4: Simplify right side
    314,232.75x = 460,064,436,680.25
  5. Step 5: Solve for x
    x = 460,064,436,680.25/314,232.75
  6. Step 6: Final answer
    x = 1,464,088.12

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