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Finding the Third Proportional to 311,895 and 656,383.50

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Solution

The third proportional to 311,895 and 656,383.50 is: 1,381,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,895 : 656,383.50 = 656,383.50 : x
  2. Step 2: Convert to fraction form
    311,895/656,383.50 = 656,383.50/x
  3. Step 3: Cross multiply
    311,895x = 656,383.50 × 656,383.50
  4. Step 4: Simplify right side
    311,895x = 430,839,299,072.25
  5. Step 5: Solve for x
    x = 430,839,299,072.25/311,895
  6. Step 6: Final answer
    x = 1,381,360.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.