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Finding the Third Proportional to 351,284 and 739,278

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Solution

The third proportional to 351,284 and 739,278 is: 1,555,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,284 : 739,278 = 739,278 : x
  2. Step 2: Convert to fraction form
    351,284/739,278 = 739,278/x
  3. Step 3: Cross multiply
    351,284x = 739,278 × 739,278
  4. Step 4: Simplify right side
    351,284x = 546,531,961,284
  5. Step 5: Solve for x
    x = 546,531,961,284/351,284
  6. Step 6: Final answer
    x = 1,555,812.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.