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Finding the Third Proportional to 286,065 and 629,259

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Solution

The third proportional to 286,065 and 629,259 is: 1,384,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,065 : 629,259 = 629,259 : x
  2. Step 2: Convert to fraction form
    286,065/629,259 = 629,259/x
  3. Step 3: Cross multiply
    286,065x = 629,259 × 629,259
  4. Step 4: Simplify right side
    286,065x = 395,966,889,081
  5. Step 5: Solve for x
    x = 395,966,889,081/286,065
  6. Step 6: Final answer
    x = 1,384,185.02

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