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Finding the Third Proportional to 289,257 and 622,902

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Solution

The third proportional to 289,257 and 622,902 is: 1,341,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,257 : 622,902 = 622,902 : x
  2. Step 2: Convert to fraction form
    289,257/622,902 = 622,902/x
  3. Step 3: Cross multiply
    289,257x = 622,902 × 622,902
  4. Step 4: Simplify right side
    289,257x = 388,006,901,604
  5. Step 5: Solve for x
    x = 388,006,901,604/289,257
  6. Step 6: Final answer
    x = 1,341,391.57

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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.