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Finding the Third Proportional to 252,533 and 383,052

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Solution

The third proportional to 252,533 and 383,052 is: 581,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,533 : 383,052 = 383,052 : x
  2. Step 2: Convert to fraction form
    252,533/383,052 = 383,052/x
  3. Step 3: Cross multiply
    252,533x = 383,052 × 383,052
  4. Step 4: Simplify right side
    252,533x = 146,728,834,704
  5. Step 5: Solve for x
    x = 146,728,834,704/252,533
  6. Step 6: Final answer
    x = 581,028.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.