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Finding the Third Proportional to 263,022.38 and 575,262.75

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Solution

The third proportional to 263,022.38 and 575,262.75 is: 1,258,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,022.38 : 575,262.75 = 575,262.75 : x
  2. Step 2: Convert to fraction form
    263,022.38/575,262.75 = 575,262.75/x
  3. Step 3: Cross multiply
    263,022.38x = 575,262.75 × 575,262.75
  4. Step 4: Simplify right side
    263,022.38x = 330,927,231,537.56
  5. Step 5: Solve for x
    x = 330,927,231,537.56/263,022.38
  6. Step 6: Final answer
    x = 1,258,171.41

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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.