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Finding the Third Proportional to 517,684 and 799,622

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Solution

The third proportional to 517,684 and 799,622 is: 1,235,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,684 : 799,622 = 799,622 : x
  2. Step 2: Convert to fraction form
    517,684/799,622 = 799,622/x
  3. Step 3: Cross multiply
    517,684x = 799,622 × 799,622
  4. Step 4: Simplify right side
    517,684x = 639,395,342,884
  5. Step 5: Solve for x
    x = 639,395,342,884/517,684
  6. Step 6: Final answer
    x = 1,235,107.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.