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Finding the Third Proportional to 354,870 and 535,992

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Solution

The third proportional to 354,870 and 535,992 is: 809,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,870 : 535,992 = 535,992 : x
  2. Step 2: Convert to fraction form
    354,870/535,992 = 535,992/x
  3. Step 3: Cross multiply
    354,870x = 535,992 × 535,992
  4. Step 4: Simplify right side
    354,870x = 287,287,424,064
  5. Step 5: Solve for x
    x = 287,287,424,064/354,870
  6. Step 6: Final answer
    x = 809,556.81

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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.