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Finding the Third Proportional to 266,108 and 574,420

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Solution

The third proportional to 266,108 and 574,420 is: 1,239,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,108 : 574,420 = 574,420 : x
  2. Step 2: Convert to fraction form
    266,108/574,420 = 574,420/x
  3. Step 3: Cross multiply
    266,108x = 574,420 × 574,420
  4. Step 4: Simplify right side
    266,108x = 329,958,336,400
  5. Step 5: Solve for x
    x = 329,958,336,400/266,108
  6. Step 6: Final answer
    x = 1,239,941.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.