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Finding the Third Proportional to 313,085 and 682,060

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Solution

The third proportional to 313,085 and 682,060 is: 1,485,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,085 : 682,060 = 682,060 : x
  2. Step 2: Convert to fraction form
    313,085/682,060 = 682,060/x
  3. Step 3: Cross multiply
    313,085x = 682,060 × 682,060
  4. Step 4: Simplify right side
    313,085x = 465,205,843,600
  5. Step 5: Solve for x
    x = 465,205,843,600/313,085
  6. Step 6: Final answer
    x = 1,485,877.14

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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.