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Finding the Third Proportional to 271,665 and 589,999

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Solution

The third proportional to 271,665 and 589,999 is: 1,281,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,665 : 589,999 = 589,999 : x
  2. Step 2: Convert to fraction form
    271,665/589,999 = 589,999/x
  3. Step 3: Cross multiply
    271,665x = 589,999 × 589,999
  4. Step 4: Simplify right side
    271,665x = 348,098,820,001
  5. Step 5: Solve for x
    x = 348,098,820,001/271,665
  6. Step 6: Final answer
    x = 1,281,353.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.