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Finding the Third Proportional to 263,021 and 575,245

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Solution

The third proportional to 263,021 and 575,245 is: 1,258,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,021 : 575,245 = 575,245 : x
  2. Step 2: Convert to fraction form
    263,021/575,245 = 575,245/x
  3. Step 3: Cross multiply
    263,021x = 575,245 × 575,245
  4. Step 4: Simplify right side
    263,021x = 330,906,810,025
  5. Step 5: Solve for x
    x = 330,906,810,025/263,021
  6. Step 6: Final answer
    x = 1,258,100.34

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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.