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Finding the Third Proportional to 262,557 and 534,745

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Solution

The third proportional to 262,557 and 534,745 is: 1,089,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,557 : 534,745 = 534,745 : x
  2. Step 2: Convert to fraction form
    262,557/534,745 = 534,745/x
  3. Step 3: Cross multiply
    262,557x = 534,745 × 534,745
  4. Step 4: Simplify right side
    262,557x = 285,952,215,025
  5. Step 5: Solve for x
    x = 285,952,215,025/262,557
  6. Step 6: Final answer
    x = 1,089,105.28

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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.