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Finding the Third Proportional to 192,483 and 406,030

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Solution

The third proportional to 192,483 and 406,030 is: 856,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,483 : 406,030 = 406,030 : x
  2. Step 2: Convert to fraction form
    192,483/406,030 = 406,030/x
  3. Step 3: Cross multiply
    192,483x = 406,030 × 406,030
  4. Step 4: Simplify right side
    192,483x = 164,860,360,900
  5. Step 5: Solve for x
    x = 164,860,360,900/192,483
  6. Step 6: Final answer
    x = 856,493.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.