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Finding the Third Proportional to 271,559 and 411,713

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Solution

The third proportional to 271,559 and 411,713 is: 624,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,559 : 411,713 = 411,713 : x
  2. Step 2: Convert to fraction form
    271,559/411,713 = 411,713/x
  3. Step 3: Cross multiply
    271,559x = 411,713 × 411,713
  4. Step 4: Simplify right side
    271,559x = 169,507,594,369
  5. Step 5: Solve for x
    x = 169,507,594,369/271,559
  6. Step 6: Final answer
    x = 624,201.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.