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Finding the Third Proportional to 388,059 and 832,818

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Solution

The third proportional to 388,059 and 832,818 is: 1,787,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,059 : 832,818 = 832,818 : x
  2. Step 2: Convert to fraction form
    388,059/832,818 = 832,818/x
  3. Step 3: Cross multiply
    388,059x = 832,818 × 832,818
  4. Step 4: Simplify right side
    388,059x = 693,585,821,124
  5. Step 5: Solve for x
    x = 693,585,821,124/388,059
  6. Step 6: Final answer
    x = 1,787,320.54

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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.