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Finding the Third Proportional to 228,228 and 503,104

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Solution

The third proportional to 228,228 and 503,104 is: 1,109,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,228 : 503,104 = 503,104 : x
  2. Step 2: Convert to fraction form
    228,228/503,104 = 503,104/x
  3. Step 3: Cross multiply
    228,228x = 503,104 × 503,104
  4. Step 4: Simplify right side
    228,228x = 253,113,634,816
  5. Step 5: Solve for x
    x = 253,113,634,816/228,228
  6. Step 6: Final answer
    x = 1,109,038.48

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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.