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Finding the Third Proportional to 389,853 and 850,216.50

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Solution

The third proportional to 389,853 and 850,216.50 is: 1,854,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,853 : 850,216.50 = 850,216.50 : x
  2. Step 2: Convert to fraction form
    389,853/850,216.50 = 850,216.50/x
  3. Step 3: Cross multiply
    389,853x = 850,216.50 × 850,216.50
  4. Step 4: Simplify right side
    389,853x = 722,868,096,872.25
  5. Step 5: Solve for x
    x = 722,868,096,872.25/389,853
  6. Step 6: Final answer
    x = 1,854,206.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.