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Finding the Third Proportional to 535,298 and 801,171

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Solution

The third proportional to 535,298 and 801,171 is: 1,199,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,298 : 801,171 = 801,171 : x
  2. Step 2: Convert to fraction form
    535,298/801,171 = 801,171/x
  3. Step 3: Cross multiply
    535,298x = 801,171 × 801,171
  4. Step 4: Simplify right side
    535,298x = 641,874,971,241
  5. Step 5: Solve for x
    x = 641,874,971,241/535,298
  6. Step 6: Final answer
    x = 1,199,098.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.