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Finding the Third Proportional to 271,639 and 590,025

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Solution

The third proportional to 271,639 and 590,025 is: 1,281,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,639 : 590,025 = 590,025 : x
  2. Step 2: Convert to fraction form
    271,639/590,025 = 590,025/x
  3. Step 3: Cross multiply
    271,639x = 590,025 × 590,025
  4. Step 4: Simplify right side
    271,639x = 348,129,500,625
  5. Step 5: Solve for x
    x = 348,129,500,625/271,639
  6. Step 6: Final answer
    x = 1,281,588.80

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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.