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Finding the Third Proportional to 266,296 and 581,353

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Solution

The third proportional to 266,296 and 581,353 is: 1,269,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,296 : 581,353 = 581,353 : x
  2. Step 2: Convert to fraction form
    266,296/581,353 = 581,353/x
  3. Step 3: Cross multiply
    266,296x = 581,353 × 581,353
  4. Step 4: Simplify right side
    266,296x = 337,971,310,609
  5. Step 5: Solve for x
    x = 337,971,310,609/266,296
  6. Step 6: Final answer
    x = 1,269,156.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.