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Finding the Third Proportional to 184,413 and 398,350.50

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Solution

The third proportional to 184,413 and 398,350.50 is: 860,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,413 : 398,350.50 = 398,350.50 : x
  2. Step 2: Convert to fraction form
    184,413/398,350.50 = 398,350.50/x
  3. Step 3: Cross multiply
    184,413x = 398,350.50 × 398,350.50
  4. Step 4: Simplify right side
    184,413x = 158,683,120,850.25
  5. Step 5: Solve for x
    x = 158,683,120,850.25/184,413
  6. Step 6: Final answer
    x = 860,476.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.