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Finding the Third Proportional to 228,732 and 504,000

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Solution

The third proportional to 228,732 and 504,000 is: 1,110,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,732 : 504,000 = 504,000 : x
  2. Step 2: Convert to fraction form
    228,732/504,000 = 504,000/x
  3. Step 3: Cross multiply
    228,732x = 504,000 × 504,000
  4. Step 4: Simplify right side
    228,732x = 254,016,000,000
  5. Step 5: Solve for x
    x = 254,016,000,000/228,732
  6. Step 6: Final answer
    x = 1,110,539.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.