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Finding the Third Proportional to 260,397 and 570,819

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Solution

The third proportional to 260,397 and 570,819 is: 1,251,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,397 : 570,819 = 570,819 : x
  2. Step 2: Convert to fraction form
    260,397/570,819 = 570,819/x
  3. Step 3: Cross multiply
    260,397x = 570,819 × 570,819
  4. Step 4: Simplify right side
    260,397x = 325,834,330,761
  5. Step 5: Solve for x
    x = 325,834,330,761/260,397
  6. Step 6: Final answer
    x = 1,251,298.33

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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.