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Finding the Third Proportional to 260,407 and 570,668

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Solution

The third proportional to 260,407 and 570,668 is: 1,250,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,407 : 570,668 = 570,668 : x
  2. Step 2: Convert to fraction form
    260,407/570,668 = 570,668/x
  3. Step 3: Cross multiply
    260,407x = 570,668 × 570,668
  4. Step 4: Simplify right side
    260,407x = 325,661,966,224
  5. Step 5: Solve for x
    x = 325,661,966,224/260,407
  6. Step 6: Final answer
    x = 1,250,588.37

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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.