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Finding the Third Proportional to 262,530 and 575,892

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Solution

The third proportional to 262,530 and 575,892 is: 1,263,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,530 : 575,892 = 575,892 : x
  2. Step 2: Convert to fraction form
    262,530/575,892 = 575,892/x
  3. Step 3: Cross multiply
    262,530x = 575,892 × 575,892
  4. Step 4: Simplify right side
    262,530x = 331,651,595,664
  5. Step 5: Solve for x
    x = 331,651,595,664/262,530
  6. Step 6: Final answer
    x = 1,263,290.27

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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.