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Finding the Third Proportional to 267,968 and 574,789

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Solution

The third proportional to 267,968 and 574,789 is: 1,232,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,968 : 574,789 = 574,789 : x
  2. Step 2: Convert to fraction form
    267,968/574,789 = 574,789/x
  3. Step 3: Cross multiply
    267,968x = 574,789 × 574,789
  4. Step 4: Simplify right side
    267,968x = 330,382,394,521
  5. Step 5: Solve for x
    x = 330,382,394,521/267,968
  6. Step 6: Final answer
    x = 1,232,917.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.