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Finding the Third Proportional to 497,512 and 789,052

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Solution

The third proportional to 497,512 and 789,052 is: 1,251,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,512 : 789,052 = 789,052 : x
  2. Step 2: Convert to fraction form
    497,512/789,052 = 789,052/x
  3. Step 3: Cross multiply
    497,512x = 789,052 × 789,052
  4. Step 4: Simplify right side
    497,512x = 622,603,058,704
  5. Step 5: Solve for x
    x = 622,603,058,704/497,512
  6. Step 6: Final answer
    x = 1,251,433.25

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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.