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Finding the Third Proportional to 263,022 and 575,247

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Solution

The third proportional to 263,022 and 575,247 is: 1,258,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,022 : 575,247 = 575,247 : x
  2. Step 2: Convert to fraction form
    263,022/575,247 = 575,247/x
  3. Step 3: Cross multiply
    263,022x = 575,247 × 575,247
  4. Step 4: Simplify right side
    263,022x = 330,909,111,009
  5. Step 5: Solve for x
    x = 330,909,111,009/263,022
  6. Step 6: Final answer
    x = 1,258,104.31

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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.