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Finding the Third Proportional to 262,737 and 577,962

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Solution

The third proportional to 262,737 and 577,962 is: 1,271,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,737 : 577,962 = 577,962 : x
  2. Step 2: Convert to fraction form
    262,737/577,962 = 577,962/x
  3. Step 3: Cross multiply
    262,737x = 577,962 × 577,962
  4. Step 4: Simplify right side
    262,737x = 334,040,073,444
  5. Step 5: Solve for x
    x = 334,040,073,444/262,737
  6. Step 6: Final answer
    x = 1,271,385.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.