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Finding the Third Proportional to 264,062 and 569,191

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Solution

The third proportional to 264,062 and 569,191 is: 1,226,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,062 : 569,191 = 569,191 : x
  2. Step 2: Convert to fraction form
    264,062/569,191 = 569,191/x
  3. Step 3: Cross multiply
    264,062x = 569,191 × 569,191
  4. Step 4: Simplify right side
    264,062x = 323,978,394,481
  5. Step 5: Solve for x
    x = 323,978,394,481/264,062
  6. Step 6: Final answer
    x = 1,226,902.75

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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.