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Finding the Third Proportional to 420,773.50 and 591,848

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Solution

The third proportional to 420,773.50 and 591,848 is: 832,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,773.50 : 591,848 = 591,848 : x
  2. Step 2: Convert to fraction form
    420,773.50/591,848 = 591,848/x
  3. Step 3: Cross multiply
    420,773.50x = 591,848 × 591,848
  4. Step 4: Simplify right side
    420,773.50x = 350,284,055,104
  5. Step 5: Solve for x
    x = 350,284,055,104/420,773.50
  6. Step 6: Final answer
    x = 832,476.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.