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Finding the Third Proportional to 271,485 and 585,045

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Solution

The third proportional to 271,485 and 585,045 is: 1,260,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,485 : 585,045 = 585,045 : x
  2. Step 2: Convert to fraction form
    271,485/585,045 = 585,045/x
  3. Step 3: Cross multiply
    271,485x = 585,045 × 585,045
  4. Step 4: Simplify right side
    271,485x = 342,277,652,025
  5. Step 5: Solve for x
    x = 342,277,652,025/271,485
  6. Step 6: Final answer
    x = 1,260,760.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.