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Finding the Third Proportional to 505,304 and 743,168.50

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Solution

The third proportional to 505,304 and 743,168.50 is: 1,093,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,304 : 743,168.50 = 743,168.50 : x
  2. Step 2: Convert to fraction form
    505,304/743,168.50 = 743,168.50/x
  3. Step 3: Cross multiply
    505,304x = 743,168.50 × 743,168.50
  4. Step 4: Simplify right side
    505,304x = 552,299,419,392.25
  5. Step 5: Solve for x
    x = 552,299,419,392.25/505,304
  6. Step 6: Final answer
    x = 1,093,004.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.