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Finding the Third Proportional to 262,584.75 and 534,796.50

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Solution

The third proportional to 262,584.75 and 534,796.50 is: 1,089,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584.75 : 534,796.50 = 534,796.50 : x
  2. Step 2: Convert to fraction form
    262,584.75/534,796.50 = 534,796.50/x
  3. Step 3: Cross multiply
    262,584.75x = 534,796.50 × 534,796.50
  4. Step 4: Simplify right side
    262,584.75x = 286,007,296,412.25
  5. Step 5: Solve for x
    x = 286,007,296,412.25/262,584.75
  6. Step 6: Final answer
    x = 1,089,199.95

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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.