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Finding the Third Proportional to 262,558.13 and 534,745.13

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Solution

The third proportional to 262,558.13 and 534,745.13 is: 1,089,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,558.13 : 534,745.13 = 534,745.13 : x
  2. Step 2: Convert to fraction form
    262,558.13/534,745.13 = 534,745.13/x
  3. Step 3: Cross multiply
    262,558.13x = 534,745.13 × 534,745.13
  4. Step 4: Simplify right side
    262,558.13x = 285,952,348,711.27
  5. Step 5: Solve for x
    x = 285,952,348,711.27/262,558.13
  6. Step 6: Final answer
    x = 1,089,101.12

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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.