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Finding the Third Proportional to 271,704 and 595,896

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Solution

The third proportional to 271,704 and 595,896 is: 1,306,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,704 : 595,896 = 595,896 : x
  2. Step 2: Convert to fraction form
    271,704/595,896 = 595,896/x
  3. Step 3: Cross multiply
    271,704x = 595,896 × 595,896
  4. Step 4: Simplify right side
    271,704x = 355,092,042,816
  5. Step 5: Solve for x
    x = 355,092,042,816/271,704
  6. Step 6: Final answer
    x = 1,306,907.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.