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Finding the Third Proportional to 233,002 and 505,556

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Solution

The third proportional to 233,002 and 505,556 is: 1,096,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,002 : 505,556 = 505,556 : x
  2. Step 2: Convert to fraction form
    233,002/505,556 = 505,556/x
  3. Step 3: Cross multiply
    233,002x = 505,556 × 505,556
  4. Step 4: Simplify right side
    233,002x = 255,586,869,136
  5. Step 5: Solve for x
    x = 255,586,869,136/233,002
  6. Step 6: Final answer
    x = 1,096,929.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.