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Finding the Third Proportional to 591,777 and 837,351

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Solution

The third proportional to 591,777 and 837,351 is: 1,184,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,777 : 837,351 = 837,351 : x
  2. Step 2: Convert to fraction form
    591,777/837,351 = 837,351/x
  3. Step 3: Cross multiply
    591,777x = 837,351 × 837,351
  4. Step 4: Simplify right side
    591,777x = 701,156,697,201
  5. Step 5: Solve for x
    x = 701,156,697,201/591,777
  6. Step 6: Final answer
    x = 1,184,832.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.