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Finding the Third Proportional to 300,992.63 and 409,968

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Solution

The third proportional to 300,992.63 and 409,968 is: 558,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,992.63 : 409,968 = 409,968 : x
  2. Step 2: Convert to fraction form
    300,992.63/409,968 = 409,968/x
  3. Step 3: Cross multiply
    300,992.63x = 409,968 × 409,968
  4. Step 4: Simplify right side
    300,992.63x = 168,073,761,024
  5. Step 5: Solve for x
    x = 168,073,761,024/300,992.63
  6. Step 6: Final answer
    x = 558,398.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.