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Finding the Third Proportional to 260,919 and 566,450

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Solution

The third proportional to 260,919 and 566,450 is: 1,229,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,919 : 566,450 = 566,450 : x
  2. Step 2: Convert to fraction form
    260,919/566,450 = 566,450/x
  3. Step 3: Cross multiply
    260,919x = 566,450 × 566,450
  4. Step 4: Simplify right side
    260,919x = 320,865,602,500
  5. Step 5: Solve for x
    x = 320,865,602,500/260,919
  6. Step 6: Final answer
    x = 1,229,751.77

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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.