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Finding the Third Proportional to 234,004 and 504,800

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Solution

The third proportional to 234,004 and 504,800 is: 1,088,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,004 : 504,800 = 504,800 : x
  2. Step 2: Convert to fraction form
    234,004/504,800 = 504,800/x
  3. Step 3: Cross multiply
    234,004x = 504,800 × 504,800
  4. Step 4: Simplify right side
    234,004x = 254,823,040,000
  5. Step 5: Solve for x
    x = 254,823,040,000/234,004
  6. Step 6: Final answer
    x = 1,088,968.74

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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.