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Finding the Third Proportional to 389,950 and 837,932

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Solution

The third proportional to 389,950 and 837,932 is: 1,800,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,950 : 837,932 = 837,932 : x
  2. Step 2: Convert to fraction form
    389,950/837,932 = 837,932/x
  3. Step 3: Cross multiply
    389,950x = 837,932 × 837,932
  4. Step 4: Simplify right side
    389,950x = 702,130,036,624
  5. Step 5: Solve for x
    x = 702,130,036,624/389,950
  6. Step 6: Final answer
    x = 1,800,564.27

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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.