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Finding the Third Proportional to 260,982 and 556,125

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Solution

The third proportional to 260,982 and 556,125 is: 1,185,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,982 : 556,125 = 556,125 : x
  2. Step 2: Convert to fraction form
    260,982/556,125 = 556,125/x
  3. Step 3: Cross multiply
    260,982x = 556,125 × 556,125
  4. Step 4: Simplify right side
    260,982x = 309,275,015,625
  5. Step 5: Solve for x
    x = 309,275,015,625/260,982
  6. Step 6: Final answer
    x = 1,185,043.47

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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.