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Finding the Third Proportional to 273,002 and 585,532

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Solution

The third proportional to 273,002 and 585,532 is: 1,255,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,002 : 585,532 = 585,532 : x
  2. Step 2: Convert to fraction form
    273,002/585,532 = 585,532/x
  3. Step 3: Cross multiply
    273,002x = 585,532 × 585,532
  4. Step 4: Simplify right side
    273,002x = 342,847,723,024
  5. Step 5: Solve for x
    x = 342,847,723,024/273,002
  6. Step 6: Final answer
    x = 1,255,843.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.