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Finding the Third Proportional to 264,404 and 515,524

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Solution

The third proportional to 264,404 and 515,524 is: 1,005,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,404 : 515,524 = 515,524 : x
  2. Step 2: Convert to fraction form
    264,404/515,524 = 515,524/x
  3. Step 3: Cross multiply
    264,404x = 515,524 × 515,524
  4. Step 4: Simplify right side
    264,404x = 265,764,994,576
  5. Step 5: Solve for x
    x = 265,764,994,576/264,404
  6. Step 6: Final answer
    x = 1,005,147.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.