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Finding the Third Proportional to 262,412 and 543,494

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Solution

The third proportional to 262,412 and 543,494 is: 1,125,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,412 : 543,494 = 543,494 : x
  2. Step 2: Convert to fraction form
    262,412/543,494 = 543,494/x
  3. Step 3: Cross multiply
    262,412x = 543,494 × 543,494
  4. Step 4: Simplify right side
    262,412x = 295,385,728,036
  5. Step 5: Solve for x
    x = 295,385,728,036/262,412
  6. Step 6: Final answer
    x = 1,125,656.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.