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Finding the Third Proportional to 228,199 and 508,868

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Solution

The third proportional to 228,199 and 508,868 is: 1,134,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,199 : 508,868 = 508,868 : x
  2. Step 2: Convert to fraction form
    228,199/508,868 = 508,868/x
  3. Step 3: Cross multiply
    228,199x = 508,868 × 508,868
  4. Step 4: Simplify right side
    228,199x = 258,946,641,424
  5. Step 5: Solve for x
    x = 258,946,641,424/228,199
  6. Step 6: Final answer
    x = 1,134,740.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.