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Finding the Third Proportional to 409,459.50 and 885,986.75

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Solution

The third proportional to 409,459.50 and 885,986.75 is: 1,917,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,459.50 : 885,986.75 = 885,986.75 : x
  2. Step 2: Convert to fraction form
    409,459.50/885,986.75 = 885,986.75/x
  3. Step 3: Cross multiply
    409,459.50x = 885,986.75 × 885,986.75
  4. Step 4: Simplify right side
    409,459.50x = 784,972,521,175.56
  5. Step 5: Solve for x
    x = 784,972,521,175.56/409,459.50
  6. Step 6: Final answer
    x = 1,917,094.42

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Why These Related Problems?

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