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Finding the Third Proportional to 266,941 and 556,025

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Solution

The third proportional to 266,941 and 556,025 is: 1,158,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,941 : 556,025 = 556,025 : x
  2. Step 2: Convert to fraction form
    266,941/556,025 = 556,025/x
  3. Step 3: Cross multiply
    266,941x = 556,025 × 556,025
  4. Step 4: Simplify right side
    266,941x = 309,163,800,625
  5. Step 5: Solve for x
    x = 309,163,800,625/266,941
  6. Step 6: Final answer
    x = 1,158,172.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.