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Finding the Third Proportional to 338,298 and 735,615

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Solution

The third proportional to 338,298 and 735,615 is: 1,599,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,298 : 735,615 = 735,615 : x
  2. Step 2: Convert to fraction form
    338,298/735,615 = 735,615/x
  3. Step 3: Cross multiply
    338,298x = 735,615 × 735,615
  4. Step 4: Simplify right side
    338,298x = 541,129,428,225
  5. Step 5: Solve for x
    x = 541,129,428,225/338,298
  6. Step 6: Final answer
    x = 1,599,564.37

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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.