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Finding the Third Proportional to 262,848 and 595,884

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Solution

The third proportional to 262,848 and 595,884 is: 1,350,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,848 : 595,884 = 595,884 : x
  2. Step 2: Convert to fraction form
    262,848/595,884 = 595,884/x
  3. Step 3: Cross multiply
    262,848x = 595,884 × 595,884
  4. Step 4: Simplify right side
    262,848x = 355,077,741,456
  5. Step 5: Solve for x
    x = 355,077,741,456/262,848
  6. Step 6: Final answer
    x = 1,350,886.22

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.