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Finding the Third Proportional to 403,842 and 622,609.50

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Solution

The third proportional to 403,842 and 622,609.50 is: 959,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,842 : 622,609.50 = 622,609.50 : x
  2. Step 2: Convert to fraction form
    403,842/622,609.50 = 622,609.50/x
  3. Step 3: Cross multiply
    403,842x = 622,609.50 × 622,609.50
  4. Step 4: Simplify right side
    403,842x = 387,642,589,490.25
  5. Step 5: Solve for x
    x = 387,642,589,490.25/403,842
  6. Step 6: Final answer
    x = 959,886.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.