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Finding the Third Proportional to 268,532 and 584,990

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Solution

The third proportional to 268,532 and 584,990 is: 1,274,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,532 : 584,990 = 584,990 : x
  2. Step 2: Convert to fraction form
    268,532/584,990 = 584,990/x
  3. Step 3: Cross multiply
    268,532x = 584,990 × 584,990
  4. Step 4: Simplify right side
    268,532x = 342,213,300,100
  5. Step 5: Solve for x
    x = 342,213,300,100/268,532
  6. Step 6: Final answer
    x = 1,274,385.55

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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.