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Finding the Third Proportional to 281,806 and 435,831

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Solution

The third proportional to 281,806 and 435,831 is: 674,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,806 : 435,831 = 435,831 : x
  2. Step 2: Convert to fraction form
    281,806/435,831 = 435,831/x
  3. Step 3: Cross multiply
    281,806x = 435,831 × 435,831
  4. Step 4: Simplify right side
    281,806x = 189,948,660,561
  5. Step 5: Solve for x
    x = 189,948,660,561/281,806
  6. Step 6: Final answer
    x = 674,040.51

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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.