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Finding the Third Proportional to 302,306 and 451,880

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Solution

The third proportional to 302,306 and 451,880 is: 675,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,306 : 451,880 = 451,880 : x
  2. Step 2: Convert to fraction form
    302,306/451,880 = 451,880/x
  3. Step 3: Cross multiply
    302,306x = 451,880 × 451,880
  4. Step 4: Simplify right side
    302,306x = 204,195,534,400
  5. Step 5: Solve for x
    x = 204,195,534,400/302,306
  6. Step 6: Final answer
    x = 675,459.75

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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.