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Finding the Third Proportional to 497,524 and 789,073

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Solution

The third proportional to 497,524 and 789,073 is: 1,251,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,524 : 789,073 = 789,073 : x
  2. Step 2: Convert to fraction form
    497,524/789,073 = 789,073/x
  3. Step 3: Cross multiply
    497,524x = 789,073 × 789,073
  4. Step 4: Simplify right side
    497,524x = 622,636,199,329
  5. Step 5: Solve for x
    x = 622,636,199,329/497,524
  6. Step 6: Final answer
    x = 1,251,469.68

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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.