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Finding the Third Proportional to 252,907 and 381,030

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Solution

The third proportional to 252,907 and 381,030 is: 574,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,907 : 381,030 = 381,030 : x
  2. Step 2: Convert to fraction form
    252,907/381,030 = 381,030/x
  3. Step 3: Cross multiply
    252,907x = 381,030 × 381,030
  4. Step 4: Simplify right side
    252,907x = 145,183,860,900
  5. Step 5: Solve for x
    x = 145,183,860,900/252,907
  6. Step 6: Final answer
    x = 574,060.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.