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Finding the Third Proportional to 233,724 and 504,816

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Solution

The third proportional to 233,724 and 504,816 is: 1,090,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,724 : 504,816 = 504,816 : x
  2. Step 2: Convert to fraction form
    233,724/504,816 = 504,816/x
  3. Step 3: Cross multiply
    233,724x = 504,816 × 504,816
  4. Step 4: Simplify right side
    233,724x = 254,839,193,856
  5. Step 5: Solve for x
    x = 254,839,193,856/233,724
  6. Step 6: Final answer
    x = 1,090,342.43

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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.