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Finding the Third Proportional to 519,408 and 777,024

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Solution

The third proportional to 519,408 and 777,024 is: 1,162,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,408 : 777,024 = 777,024 : x
  2. Step 2: Convert to fraction form
    519,408/777,024 = 777,024/x
  3. Step 3: Cross multiply
    519,408x = 777,024 × 777,024
  4. Step 4: Simplify right side
    519,408x = 603,766,296,576
  5. Step 5: Solve for x
    x = 603,766,296,576/519,408
  6. Step 6: Final answer
    x = 1,162,412.39

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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.