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Finding the Third Proportional to 409,462.50 and 885,993

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Solution

The third proportional to 409,462.50 and 885,993 is: 1,917,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,462.50 : 885,993 = 885,993 : x
  2. Step 2: Convert to fraction form
    409,462.50/885,993 = 885,993/x
  3. Step 3: Cross multiply
    409,462.50x = 885,993 × 885,993
  4. Step 4: Simplify right side
    409,462.50x = 784,983,596,049
  5. Step 5: Solve for x
    x = 784,983,596,049/409,462.50
  6. Step 6: Final answer
    x = 1,917,107.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.