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Finding the Third Proportional to 262,577.25 and 534,782.25

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Solution

The third proportional to 262,577.25 and 534,782.25 is: 1,089,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,577.25 : 534,782.25 = 534,782.25 : x
  2. Step 2: Convert to fraction form
    262,577.25/534,782.25 = 534,782.25/x
  3. Step 3: Cross multiply
    262,577.25x = 534,782.25 × 534,782.25
  4. Step 4: Simplify right side
    262,577.25x = 285,992,054,915.06
  5. Step 5: Solve for x
    x = 285,992,054,915.06/262,577.25
  6. Step 6: Final answer
    x = 1,089,173.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.