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Finding the Third Proportional to 363,846 and 791,298

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Solution

The third proportional to 363,846 and 791,298 is: 1,720,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,846 : 791,298 = 791,298 : x
  2. Step 2: Convert to fraction form
    363,846/791,298 = 791,298/x
  3. Step 3: Cross multiply
    363,846x = 791,298 × 791,298
  4. Step 4: Simplify right side
    363,846x = 626,152,524,804
  5. Step 5: Solve for x
    x = 626,152,524,804/363,846
  6. Step 6: Final answer
    x = 1,720,927.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.