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Finding the Third Proportional to 362,281 and 796,275

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Solution

The third proportional to 362,281 and 796,275 is: 1,750,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,281 : 796,275 = 796,275 : x
  2. Step 2: Convert to fraction form
    362,281/796,275 = 796,275/x
  3. Step 3: Cross multiply
    362,281x = 796,275 × 796,275
  4. Step 4: Simplify right side
    362,281x = 634,053,875,625
  5. Step 5: Solve for x
    x = 634,053,875,625/362,281
  6. Step 6: Final answer
    x = 1,750,171.48

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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.