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Finding the Third Proportional to 260,815 and 556,077

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Solution

The third proportional to 260,815 and 556,077 is: 1,185,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,815 : 556,077 = 556,077 : x
  2. Step 2: Convert to fraction form
    260,815/556,077 = 556,077/x
  3. Step 3: Cross multiply
    260,815x = 556,077 × 556,077
  4. Step 4: Simplify right side
    260,815x = 309,221,629,929
  5. Step 5: Solve for x
    x = 309,221,629,929/260,815
  6. Step 6: Final answer
    x = 1,185,597.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.