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Finding the Third Proportional to 228,722 and 501,600

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Solution

The third proportional to 228,722 and 501,600 is: 1,100,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,722 : 501,600 = 501,600 : x
  2. Step 2: Convert to fraction form
    228,722/501,600 = 501,600/x
  3. Step 3: Cross multiply
    228,722x = 501,600 × 501,600
  4. Step 4: Simplify right side
    228,722x = 251,602,560,000
  5. Step 5: Solve for x
    x = 251,602,560,000/228,722
  6. Step 6: Final answer
    x = 1,100,036.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.