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Finding the Third Proportional to 301,852.50 and 622,842

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Solution

The third proportional to 301,852.50 and 622,842 is: 1,285,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,852.50 : 622,842 = 622,842 : x
  2. Step 2: Convert to fraction form
    301,852.50/622,842 = 622,842/x
  3. Step 3: Cross multiply
    301,852.50x = 622,842 × 622,842
  4. Step 4: Simplify right side
    301,852.50x = 387,932,156,964
  5. Step 5: Solve for x
    x = 387,932,156,964/301,852.50
  6. Step 6: Final answer
    x = 1,285,171.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.