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Finding the Third Proportional to 263,030 and 575,266

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Solution

The third proportional to 263,030 and 575,266 is: 1,258,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,030 : 575,266 = 575,266 : x
  2. Step 2: Convert to fraction form
    263,030/575,266 = 575,266/x
  3. Step 3: Cross multiply
    263,030x = 575,266 × 575,266
  4. Step 4: Simplify right side
    263,030x = 330,930,970,756
  5. Step 5: Solve for x
    x = 330,930,970,756/263,030
  6. Step 6: Final answer
    x = 1,258,149.15

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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.