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Finding the Third Proportional to 307,962 and 451,275

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Solution

The third proportional to 307,962 and 451,275 is: 661,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,962 : 451,275 = 451,275 : x
  2. Step 2: Convert to fraction form
    307,962/451,275 = 451,275/x
  3. Step 3: Cross multiply
    307,962x = 451,275 × 451,275
  4. Step 4: Simplify right side
    307,962x = 203,649,125,625
  5. Step 5: Solve for x
    x = 203,649,125,625/307,962
  6. Step 6: Final answer
    x = 661,280.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.