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Finding the Third Proportional to 366,050 and 802,084

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Solution

The third proportional to 366,050 and 802,084 is: 1,757,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,050 : 802,084 = 802,084 : x
  2. Step 2: Convert to fraction form
    366,050/802,084 = 802,084/x
  3. Step 3: Cross multiply
    366,050x = 802,084 × 802,084
  4. Step 4: Simplify right side
    366,050x = 643,338,743,056
  5. Step 5: Solve for x
    x = 643,338,743,056/366,050
  6. Step 6: Final answer
    x = 1,757,516.03

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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.