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Finding the Third Proportional to 410,076.56 and 883,016.44

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Solution

The third proportional to 410,076.56 and 883,016.44 is: 1,901,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,076.56 : 883,016.44 = 883,016.44 : x
  2. Step 2: Convert to fraction form
    410,076.56/883,016.44 = 883,016.44/x
  3. Step 3: Cross multiply
    410,076.56x = 883,016.44 × 883,016.44
  4. Step 4: Simplify right side
    410,076.56x = 779,718,028,895.19
  5. Step 5: Solve for x
    x = 779,718,028,895.19/410,076.56
  6. Step 6: Final answer
    x = 1,901,396.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.