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Finding the Third Proportional to 350,861 and 771,706

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Solution

The third proportional to 350,861 and 771,706 is: 1,697,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,861 : 771,706 = 771,706 : x
  2. Step 2: Convert to fraction form
    350,861/771,706 = 771,706/x
  3. Step 3: Cross multiply
    350,861x = 771,706 × 771,706
  4. Step 4: Simplify right side
    350,861x = 595,530,150,436
  5. Step 5: Solve for x
    x = 595,530,150,436/350,861
  6. Step 6: Final answer
    x = 1,697,339.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.