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Finding the Third Proportional to 260,057 and 540,733

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Solution

The third proportional to 260,057 and 540,733 is: 1,124,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,057 : 540,733 = 540,733 : x
  2. Step 2: Convert to fraction form
    260,057/540,733 = 540,733/x
  3. Step 3: Cross multiply
    260,057x = 540,733 × 540,733
  4. Step 4: Simplify right side
    260,057x = 292,392,177,289
  5. Step 5: Solve for x
    x = 292,392,177,289/260,057
  6. Step 6: Final answer
    x = 1,124,338.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.