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Finding the Third Proportional to 351,236 and 758,632

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Solution

The third proportional to 351,236 and 758,632 is: 1,638,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,236 : 758,632 = 758,632 : x
  2. Step 2: Convert to fraction form
    351,236/758,632 = 758,632/x
  3. Step 3: Cross multiply
    351,236x = 758,632 × 758,632
  4. Step 4: Simplify right side
    351,236x = 575,522,511,424
  5. Step 5: Solve for x
    x = 575,522,511,424/351,236
  6. Step 6: Final answer
    x = 1,638,563.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.