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Finding the Third Proportional to 281,108 and 572,629

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Solution

The third proportional to 281,108 and 572,629 is: 1,166,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,108 : 572,629 = 572,629 : x
  2. Step 2: Convert to fraction form
    281,108/572,629 = 572,629/x
  3. Step 3: Cross multiply
    281,108x = 572,629 × 572,629
  4. Step 4: Simplify right side
    281,108x = 327,903,971,641
  5. Step 5: Solve for x
    x = 327,903,971,641/281,108
  6. Step 6: Final answer
    x = 1,166,469.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.