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Finding the Third Proportional to 263,806 and 409,094

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Solution

The third proportional to 263,806 and 409,094 is: 634,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,806 : 409,094 = 409,094 : x
  2. Step 2: Convert to fraction form
    263,806/409,094 = 409,094/x
  3. Step 3: Cross multiply
    263,806x = 409,094 × 409,094
  4. Step 4: Simplify right side
    263,806x = 167,357,900,836
  5. Step 5: Solve for x
    x = 167,357,900,836/263,806
  6. Step 6: Final answer
    x = 634,397.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.