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Finding the Third Proportional to 262,935 and 575,899

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Solution

The third proportional to 262,935 and 575,899 is: 1,261,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935 : 575,899 = 575,899 : x
  2. Step 2: Convert to fraction form
    262,935/575,899 = 575,899/x
  3. Step 3: Cross multiply
    262,935x = 575,899 × 575,899
  4. Step 4: Simplify right side
    262,935x = 331,659,658,201
  5. Step 5: Solve for x
    x = 331,659,658,201/262,935
  6. Step 6: Final answer
    x = 1,261,375.09

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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.