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Finding the Third Proportional to 382,922 and 610,467

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Solution

The third proportional to 382,922 and 610,467 is: 973,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,922 : 610,467 = 610,467 : x
  2. Step 2: Convert to fraction form
    382,922/610,467 = 610,467/x
  3. Step 3: Cross multiply
    382,922x = 610,467 × 610,467
  4. Step 4: Simplify right side
    382,922x = 372,669,958,089
  5. Step 5: Solve for x
    x = 372,669,958,089/382,922
  6. Step 6: Final answer
    x = 973,226.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.