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Finding the Third Proportional to 389,632 and 837,529

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Solution

The third proportional to 389,632 and 837,529 is: 1,800,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,632 : 837,529 = 837,529 : x
  2. Step 2: Convert to fraction form
    389,632/837,529 = 837,529/x
  3. Step 3: Cross multiply
    389,632x = 837,529 × 837,529
  4. Step 4: Simplify right side
    389,632x = 701,454,825,841
  5. Step 5: Solve for x
    x = 701,454,825,841/389,632
  6. Step 6: Final answer
    x = 1,800,300.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.