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Finding the Third Proportional to 362,268 and 796,248

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Solution

The third proportional to 362,268 and 796,248 is: 1,750,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,268 : 796,248 = 796,248 : x
  2. Step 2: Convert to fraction form
    362,268/796,248 = 796,248/x
  3. Step 3: Cross multiply
    362,268x = 796,248 × 796,248
  4. Step 4: Simplify right side
    362,268x = 634,010,877,504
  5. Step 5: Solve for x
    x = 634,010,877,504/362,268
  6. Step 6: Final answer
    x = 1,750,115.60

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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.