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Finding the Third Proportional to 311,623 and 682,537

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Solution

The third proportional to 311,623 and 682,537 is: 1,494,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,623 : 682,537 = 682,537 : x
  2. Step 2: Convert to fraction form
    311,623/682,537 = 682,537/x
  3. Step 3: Cross multiply
    311,623x = 682,537 × 682,537
  4. Step 4: Simplify right side
    311,623x = 465,856,756,369
  5. Step 5: Solve for x
    x = 465,856,756,369/311,623
  6. Step 6: Final answer
    x = 1,494,937.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.