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Finding the Third Proportional to 722,583 and 950,391

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Solution

The third proportional to 722,583 and 950,391 is: 1,250,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,583 : 950,391 = 950,391 : x
  2. Step 2: Convert to fraction form
    722,583/950,391 = 950,391/x
  3. Step 3: Cross multiply
    722,583x = 950,391 × 950,391
  4. Step 4: Simplify right side
    722,583x = 903,243,052,881
  5. Step 5: Solve for x
    x = 903,243,052,881/722,583
  6. Step 6: Final answer
    x = 1,250,019.79

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.