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Finding the Third Proportional to 384,777 and 835,260

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Solution

The third proportional to 384,777 and 835,260 is: 1,813,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,777 : 835,260 = 835,260 : x
  2. Step 2: Convert to fraction form
    384,777/835,260 = 835,260/x
  3. Step 3: Cross multiply
    384,777x = 835,260 × 835,260
  4. Step 4: Simplify right side
    384,777x = 697,659,267,600
  5. Step 5: Solve for x
    x = 697,659,267,600/384,777
  6. Step 6: Final answer
    x = 1,813,152.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.