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Finding the Third Proportional to 233,834 and 505,036

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Solution

The third proportional to 233,834 and 505,036 is: 1,090,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,834 : 505,036 = 505,036 : x
  2. Step 2: Convert to fraction form
    233,834/505,036 = 505,036/x
  3. Step 3: Cross multiply
    233,834x = 505,036 × 505,036
  4. Step 4: Simplify right side
    233,834x = 255,061,361,296
  5. Step 5: Solve for x
    x = 255,061,361,296/233,834
  6. Step 6: Final answer
    x = 1,090,779.62

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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.