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Finding the Third Proportional to 268,542 and 585,036

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Solution

The third proportional to 268,542 and 585,036 is: 1,274,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,542 : 585,036 = 585,036 : x
  2. Step 2: Convert to fraction form
    268,542/585,036 = 585,036/x
  3. Step 3: Cross multiply
    268,542x = 585,036 × 585,036
  4. Step 4: Simplify right side
    268,542x = 342,267,121,296
  5. Step 5: Solve for x
    x = 342,267,121,296/268,542
  6. Step 6: Final answer
    x = 1,274,538.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.