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Finding the Third Proportional to 307,762 and 451,011

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Solution

The third proportional to 307,762 and 451,011 is: 660,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,762 : 451,011 = 451,011 : x
  2. Step 2: Convert to fraction form
    307,762/451,011 = 451,011/x
  3. Step 3: Cross multiply
    307,762x = 451,011 × 451,011
  4. Step 4: Simplify right side
    307,762x = 203,410,922,121
  5. Step 5: Solve for x
    x = 203,410,922,121/307,762
  6. Step 6: Final answer
    x = 660,935.79

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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.