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Finding the Third Proportional to 389,866.50 and 837,749.25

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Solution

The third proportional to 389,866.50 and 837,749.25 is: 1,800,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,866.50 : 837,749.25 = 837,749.25 : x
  2. Step 2: Convert to fraction form
    389,866.50/837,749.25 = 837,749.25/x
  3. Step 3: Cross multiply
    389,866.50x = 837,749.25 × 837,749.25
  4. Step 4: Simplify right side
    389,866.50x = 701,823,805,875.56
  5. Step 5: Solve for x
    x = 701,823,805,875.56/389,866.50
  6. Step 6: Final answer
    x = 1,800,164.43

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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.