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Finding the Third Proportional to 263,914 and 568,650

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Solution

The third proportional to 263,914 and 568,650 is: 1,225,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,914 : 568,650 = 568,650 : x
  2. Step 2: Convert to fraction form
    263,914/568,650 = 568,650/x
  3. Step 3: Cross multiply
    263,914x = 568,650 × 568,650
  4. Step 4: Simplify right side
    263,914x = 323,362,822,500
  5. Step 5: Solve for x
    x = 323,362,822,500/263,914
  6. Step 6: Final answer
    x = 1,225,258.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.