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Finding the Third Proportional to 302,352.75 and 451,949.63

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Solution

The third proportional to 302,352.75 and 451,949.63 is: 675,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,352.75 : 451,949.63 = 451,949.63 : x
  2. Step 2: Convert to fraction form
    302,352.75/451,949.63 = 451,949.63/x
  3. Step 3: Cross multiply
    302,352.75x = 451,949.63 × 451,949.63
  4. Step 4: Simplify right side
    302,352.75x = 204,258,463,537.64
  5. Step 5: Solve for x
    x = 204,258,463,537.64/302,352.75
  6. Step 6: Final answer
    x = 675,563.44

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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.