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Finding the Third Proportional to 389,432.50 and 837,036

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Solution

The third proportional to 389,432.50 and 837,036 is: 1,799,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,432.50 : 837,036 = 837,036 : x
  2. Step 2: Convert to fraction form
    389,432.50/837,036 = 837,036/x
  3. Step 3: Cross multiply
    389,432.50x = 837,036 × 837,036
  4. Step 4: Simplify right side
    389,432.50x = 700,629,265,296
  5. Step 5: Solve for x
    x = 700,629,265,296/389,432.50
  6. Step 6: Final answer
    x = 1,799,103.22

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