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Finding the Third Proportional to 380,734 and 846,571

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Solution

The third proportional to 380,734 and 846,571 is: 1,882,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,734 : 846,571 = 846,571 : x
  2. Step 2: Convert to fraction form
    380,734/846,571 = 846,571/x
  3. Step 3: Cross multiply
    380,734x = 846,571 × 846,571
  4. Step 4: Simplify right side
    380,734x = 716,682,458,041
  5. Step 5: Solve for x
    x = 716,682,458,041/380,734
  6. Step 6: Final answer
    x = 1,882,370.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.