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Finding the Third Proportional to 389,742.75 and 837,497.25

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Solution

The third proportional to 389,742.75 and 837,497.25 is: 1,799,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,742.75 : 837,497.25 = 837,497.25 : x
  2. Step 2: Convert to fraction form
    389,742.75/837,497.25 = 837,497.25/x
  3. Step 3: Cross multiply
    389,742.75x = 837,497.25 × 837,497.25
  4. Step 4: Simplify right side
    389,742.75x = 701,401,643,757.56
  5. Step 5: Solve for x
    x = 701,401,643,757.56/389,742.75
  6. Step 6: Final answer
    x = 1,799,652.83

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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.