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Finding the Third Proportional to 286,151 and 622,057

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Solution

The third proportional to 286,151 and 622,057 is: 1,352,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,151 : 622,057 = 622,057 : x
  2. Step 2: Convert to fraction form
    286,151/622,057 = 622,057/x
  3. Step 3: Cross multiply
    286,151x = 622,057 × 622,057
  4. Step 4: Simplify right side
    286,151x = 386,954,911,249
  5. Step 5: Solve for x
    x = 386,954,911,249/286,151
  6. Step 6: Final answer
    x = 1,352,275.24

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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.