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Finding the Third Proportional to 497,486.50 and 789,019

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Solution

The third proportional to 497,486.50 and 789,019 is: 1,251,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,486.50 : 789,019 = 789,019 : x
  2. Step 2: Convert to fraction form
    497,486.50/789,019 = 789,019/x
  3. Step 3: Cross multiply
    497,486.50x = 789,019 × 789,019
  4. Step 4: Simplify right side
    497,486.50x = 622,550,982,361
  5. Step 5: Solve for x
    x = 622,550,982,361/497,486.50
  6. Step 6: Final answer
    x = 1,251,392.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.