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Finding the Third Proportional to 211,093 and 430,792

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Solution

The third proportional to 211,093 and 430,792 is: 879,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,093 : 430,792 = 430,792 : x
  2. Step 2: Convert to fraction form
    211,093/430,792 = 430,792/x
  3. Step 3: Cross multiply
    211,093x = 430,792 × 430,792
  4. Step 4: Simplify right side
    211,093x = 185,581,747,264
  5. Step 5: Solve for x
    x = 185,581,747,264/211,093
  6. Step 6: Final answer
    x = 879,146.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.