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Finding the Third Proportional to 492,163 and 748,199

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Solution

The third proportional to 492,163 and 748,199 is: 1,137,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,163 : 748,199 = 748,199 : x
  2. Step 2: Convert to fraction form
    492,163/748,199 = 748,199/x
  3. Step 3: Cross multiply
    492,163x = 748,199 × 748,199
  4. Step 4: Simplify right side
    492,163x = 559,801,743,601
  5. Step 5: Solve for x
    x = 559,801,743,601/492,163
  6. Step 6: Final answer
    x = 1,137,431.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.