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Finding the Third Proportional to 425,738 and 591,951

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Solution

The third proportional to 425,738 and 591,951 is: 823,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,738 : 591,951 = 591,951 : x
  2. Step 2: Convert to fraction form
    425,738/591,951 = 591,951/x
  3. Step 3: Cross multiply
    425,738x = 591,951 × 591,951
  4. Step 4: Simplify right side
    425,738x = 350,405,986,401
  5. Step 5: Solve for x
    x = 350,405,986,401/425,738
  6. Step 6: Final answer
    x = 823,055.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.