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Finding the Third Proportional to 519,777 and 777,549

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Solution

The third proportional to 519,777 and 777,549 is: 1,163,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,777 : 777,549 = 777,549 : x
  2. Step 2: Convert to fraction form
    519,777/777,549 = 777,549/x
  3. Step 3: Cross multiply
    519,777x = 777,549 × 777,549
  4. Step 4: Simplify right side
    519,777x = 604,582,447,401
  5. Step 5: Solve for x
    x = 604,582,447,401/519,777
  6. Step 6: Final answer
    x = 1,163,157.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.