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Finding the Third Proportional to 265,365 and 397,075

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Solution

The third proportional to 265,365 and 397,075 is: 594,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,365 : 397,075 = 397,075 : x
  2. Step 2: Convert to fraction form
    265,365/397,075 = 397,075/x
  3. Step 3: Cross multiply
    265,365x = 397,075 × 397,075
  4. Step 4: Simplify right side
    265,365x = 157,668,555,625
  5. Step 5: Solve for x
    x = 157,668,555,625/265,365
  6. Step 6: Final answer
    x = 594,157.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.