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Finding the Third Proportional to 273,003 and 585,525

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Solution

The third proportional to 273,003 and 585,525 is: 1,255,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,003 : 585,525 = 585,525 : x
  2. Step 2: Convert to fraction form
    273,003/585,525 = 585,525/x
  3. Step 3: Cross multiply
    273,003x = 585,525 × 585,525
  4. Step 4: Simplify right side
    273,003x = 342,839,525,625
  5. Step 5: Solve for x
    x = 342,839,525,625/273,003
  6. Step 6: Final answer
    x = 1,255,808.64

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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.