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Finding the Third Proportional to 260,818 and 556,083

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Solution

The third proportional to 260,818 and 556,083 is: 1,185,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,818 : 556,083 = 556,083 : x
  2. Step 2: Convert to fraction form
    260,818/556,083 = 556,083/x
  3. Step 3: Cross multiply
    260,818x = 556,083 × 556,083
  4. Step 4: Simplify right side
    260,818x = 309,228,302,889
  5. Step 5: Solve for x
    x = 309,228,302,889/260,818
  6. Step 6: Final answer
    x = 1,185,609.52

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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.