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Finding the Third Proportional to 302,308 and 451,881

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Solution

The third proportional to 302,308 and 451,881 is: 675,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,308 : 451,881 = 451,881 : x
  2. Step 2: Convert to fraction form
    302,308/451,881 = 451,881/x
  3. Step 3: Cross multiply
    302,308x = 451,881 × 451,881
  4. Step 4: Simplify right side
    302,308x = 204,196,438,161
  5. Step 5: Solve for x
    x = 204,196,438,161/302,308
  6. Step 6: Final answer
    x = 675,458.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.