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Finding the Third Proportional to 241,848 and 523,095

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Solution

The third proportional to 241,848 and 523,095 is: 1,131,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,848 : 523,095 = 523,095 : x
  2. Step 2: Convert to fraction form
    241,848/523,095 = 523,095/x
  3. Step 3: Cross multiply
    241,848x = 523,095 × 523,095
  4. Step 4: Simplify right side
    241,848x = 273,628,379,025
  5. Step 5: Solve for x
    x = 273,628,379,025/241,848
  6. Step 6: Final answer
    x = 1,131,406.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.