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Finding the Third Proportional to 311,130.75 and 678,573.75

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Solution

The third proportional to 311,130.75 and 678,573.75 is: 1,479,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,130.75 : 678,573.75 = 678,573.75 : x
  2. Step 2: Convert to fraction form
    311,130.75/678,573.75 = 678,573.75/x
  3. Step 3: Cross multiply
    311,130.75x = 678,573.75 × 678,573.75
  4. Step 4: Simplify right side
    311,130.75x = 460,462,334,189.06
  5. Step 5: Solve for x
    x = 460,462,334,189.06/311,130.75
  6. Step 6: Final answer
    x = 1,479,964.08

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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.