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Finding the Third Proportional to 389,613 and 622,420.50

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Solution

The third proportional to 389,613 and 622,420.50 is: 994,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,613 : 622,420.50 = 622,420.50 : x
  2. Step 2: Convert to fraction form
    389,613/622,420.50 = 622,420.50/x
  3. Step 3: Cross multiply
    389,613x = 622,420.50 × 622,420.50
  4. Step 4: Simplify right side
    389,613x = 387,407,278,820.25
  5. Step 5: Solve for x
    x = 387,407,278,820.25/389,613
  6. Step 6: Final answer
    x = 994,338.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.