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Finding the Third Proportional to 263,674 and 571,087

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Solution

The third proportional to 263,674 and 571,087 is: 1,236,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,674 : 571,087 = 571,087 : x
  2. Step 2: Convert to fraction form
    263,674/571,087 = 571,087/x
  3. Step 3: Cross multiply
    263,674x = 571,087 × 571,087
  4. Step 4: Simplify right side
    263,674x = 326,140,361,569
  5. Step 5: Solve for x
    x = 326,140,361,569/263,674
  6. Step 6: Final answer
    x = 1,236,907.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.