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Finding the Third Proportional to 354,806 and 535,881

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Solution

The third proportional to 354,806 and 535,881 is: 809,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,806 : 535,881 = 535,881 : x
  2. Step 2: Convert to fraction form
    354,806/535,881 = 535,881/x
  3. Step 3: Cross multiply
    354,806x = 535,881 × 535,881
  4. Step 4: Simplify right side
    354,806x = 287,168,446,161
  5. Step 5: Solve for x
    x = 287,168,446,161/354,806
  6. Step 6: Final answer
    x = 809,367.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.