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Finding the Third Proportional to 286,154 and 622,062

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Solution

The third proportional to 286,154 and 622,062 is: 1,352,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,154 : 622,062 = 622,062 : x
  2. Step 2: Convert to fraction form
    286,154/622,062 = 622,062/x
  3. Step 3: Cross multiply
    286,154x = 622,062 × 622,062
  4. Step 4: Simplify right side
    286,154x = 386,961,131,844
  5. Step 5: Solve for x
    x = 386,961,131,844/286,154
  6. Step 6: Final answer
    x = 1,352,282.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.