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Finding the Third Proportional to 362,364 and 796,416

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Solution

The third proportional to 362,364 and 796,416 is: 1,750,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,364 : 796,416 = 796,416 : x
  2. Step 2: Convert to fraction form
    362,364/796,416 = 796,416/x
  3. Step 3: Cross multiply
    362,364x = 796,416 × 796,416
  4. Step 4: Simplify right side
    362,364x = 634,278,445,056
  5. Step 5: Solve for x
    x = 634,278,445,056/362,364
  6. Step 6: Final answer
    x = 1,750,390.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.