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Finding the Third Proportional to 228,968 and 503,608

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Solution

The third proportional to 228,968 and 503,608 is: 1,107,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,968 : 503,608 = 503,608 : x
  2. Step 2: Convert to fraction form
    228,968/503,608 = 503,608/x
  3. Step 3: Cross multiply
    228,968x = 503,608 × 503,608
  4. Step 4: Simplify right side
    228,968x = 253,621,017,664
  5. Step 5: Solve for x
    x = 253,621,017,664/228,968
  6. Step 6: Final answer
    x = 1,107,670.14

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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.