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Finding the Third Proportional to 513,081 and 789,304.50

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Solution

The third proportional to 513,081 and 789,304.50 is: 1,214,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,081 : 789,304.50 = 789,304.50 : x
  2. Step 2: Convert to fraction form
    513,081/789,304.50 = 789,304.50/x
  3. Step 3: Cross multiply
    513,081x = 789,304.50 × 789,304.50
  4. Step 4: Simplify right side
    513,081x = 623,001,593,720.25
  5. Step 5: Solve for x
    x = 623,001,593,720.25/513,081
  6. Step 6: Final answer
    x = 1,214,236.34

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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.