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Finding the Third Proportional to 260,559 and 570,994

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Solution

The third proportional to 260,559 and 570,994 is: 1,251,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,559 : 570,994 = 570,994 : x
  2. Step 2: Convert to fraction form
    260,559/570,994 = 570,994/x
  3. Step 3: Cross multiply
    260,559x = 570,994 × 570,994
  4. Step 4: Simplify right side
    260,559x = 326,034,148,036
  5. Step 5: Solve for x
    x = 326,034,148,036/260,559
  6. Step 6: Final answer
    x = 1,251,287.22

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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.