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Finding the Third Proportional to 355,176.75 and 543,335.25

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Solution

The third proportional to 355,176.75 and 543,335.25 is: 831,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,176.75 : 543,335.25 = 543,335.25 : x
  2. Step 2: Convert to fraction form
    355,176.75/543,335.25 = 543,335.25/x
  3. Step 3: Cross multiply
    355,176.75x = 543,335.25 × 543,335.25
  4. Step 4: Simplify right side
    355,176.75x = 295,213,193,892.56
  5. Step 5: Solve for x
    x = 295,213,193,892.56/355,176.75
  6. Step 6: Final answer
    x = 831,172.63

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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.