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Finding the Third Proportional to 573,075 and 622,221.75

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Solution

The third proportional to 573,075 and 622,221.75 is: 675,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,075 : 622,221.75 = 622,221.75 : x
  2. Step 2: Convert to fraction form
    573,075/622,221.75 = 622,221.75/x
  3. Step 3: Cross multiply
    573,075x = 622,221.75 × 622,221.75
  4. Step 4: Simplify right side
    573,075x = 387,159,906,173.06
  5. Step 5: Solve for x
    x = 387,159,906,173.06/573,075
  6. Step 6: Final answer
    x = 675,583.31

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.