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Finding the Third Proportional to 376,483.50 and 734,049

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Solution

The third proportional to 376,483.50 and 734,049 is: 1,431,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,483.50 : 734,049 = 734,049 : x
  2. Step 2: Convert to fraction form
    376,483.50/734,049 = 734,049/x
  3. Step 3: Cross multiply
    376,483.50x = 734,049 × 734,049
  4. Step 4: Simplify right side
    376,483.50x = 538,827,934,401
  5. Step 5: Solve for x
    x = 538,827,934,401/376,483.50
  6. Step 6: Final answer
    x = 1,431,212.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.