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Finding the Third Proportional to 351,225 and 746,199

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Solution

The third proportional to 351,225 and 746,199 is: 1,585,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,225 : 746,199 = 746,199 : x
  2. Step 2: Convert to fraction form
    351,225/746,199 = 746,199/x
  3. Step 3: Cross multiply
    351,225x = 746,199 × 746,199
  4. Step 4: Simplify right side
    351,225x = 556,812,947,601
  5. Step 5: Solve for x
    x = 556,812,947,601/351,225
  6. Step 6: Final answer
    x = 1,585,345.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.