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Finding the Third Proportional to 260,406 and 570,666

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Solution

The third proportional to 260,406 and 570,666 is: 1,250,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,406 : 570,666 = 570,666 : x
  2. Step 2: Convert to fraction form
    260,406/570,666 = 570,666/x
  3. Step 3: Cross multiply
    260,406x = 570,666 × 570,666
  4. Step 4: Simplify right side
    260,406x = 325,659,683,556
  5. Step 5: Solve for x
    x = 325,659,683,556/260,406
  6. Step 6: Final answer
    x = 1,250,584.41

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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.