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Finding the Third Proportional to 260,418 and 570,696

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Solution

The third proportional to 260,418 and 570,696 is: 1,250,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,418 : 570,696 = 570,696 : x
  2. Step 2: Convert to fraction form
    260,418/570,696 = 570,696/x
  3. Step 3: Cross multiply
    260,418x = 570,696 × 570,696
  4. Step 4: Simplify right side
    260,418x = 325,693,924,416
  5. Step 5: Solve for x
    x = 325,693,924,416/260,418
  6. Step 6: Final answer
    x = 1,250,658.27

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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.