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Finding the Third Proportional to 366,056 and 802,096

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Solution

The third proportional to 366,056 and 802,096 is: 1,757,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,056 : 802,096 = 802,096 : x
  2. Step 2: Convert to fraction form
    366,056/802,096 = 802,096/x
  3. Step 3: Cross multiply
    366,056x = 802,096 × 802,096
  4. Step 4: Simplify right side
    366,056x = 643,357,993,216
  5. Step 5: Solve for x
    x = 643,357,993,216/366,056
  6. Step 6: Final answer
    x = 1,757,539.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.