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Finding the Third Proportional to 307,048.50 and 451,795.50

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Solution

The third proportional to 307,048.50 and 451,795.50 is: 664,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,048.50 : 451,795.50 = 451,795.50 : x
  2. Step 2: Convert to fraction form
    307,048.50/451,795.50 = 451,795.50/x
  3. Step 3: Cross multiply
    307,048.50x = 451,795.50 × 451,795.50
  4. Step 4: Simplify right side
    307,048.50x = 204,119,173,820.25
  5. Step 5: Solve for x
    x = 204,119,173,820.25/307,048.50
  6. Step 6: Final answer
    x = 664,778.28

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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.