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Finding the Third Proportional to 652,467 and 998,201.25

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Solution

The third proportional to 652,467 and 998,201.25 is: 1,527,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,467 : 998,201.25 = 998,201.25 : x
  2. Step 2: Convert to fraction form
    652,467/998,201.25 = 998,201.25/x
  3. Step 3: Cross multiply
    652,467x = 998,201.25 × 998,201.25
  4. Step 4: Simplify right side
    652,467x = 996,405,735,501.56
  5. Step 5: Solve for x
    x = 996,405,735,501.56/652,467
  6. Step 6: Final answer
    x = 1,527,135.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.