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Finding the Third Proportional to 366,096 and 802,176

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Solution

The third proportional to 366,096 and 802,176 is: 1,757,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,096 : 802,176 = 802,176 : x
  2. Step 2: Convert to fraction form
    366,096/802,176 = 802,176/x
  3. Step 3: Cross multiply
    366,096x = 802,176 × 802,176
  4. Step 4: Simplify right side
    366,096x = 643,486,334,976
  5. Step 5: Solve for x
    x = 643,486,334,976/366,096
  6. Step 6: Final answer
    x = 1,757,698.35

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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.