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Finding the Third Proportional to 313,083 and 682,056

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Solution

The third proportional to 313,083 and 682,056 is: 1,485,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,083 : 682,056 = 682,056 : x
  2. Step 2: Convert to fraction form
    313,083/682,056 = 682,056/x
  3. Step 3: Cross multiply
    313,083x = 682,056 × 682,056
  4. Step 4: Simplify right side
    313,083x = 465,200,387,136
  5. Step 5: Solve for x
    x = 465,200,387,136/313,083
  6. Step 6: Final answer
    x = 1,485,869.20

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Why These Related Problems?

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