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Finding the Third Proportional to 302,427 and 444,880

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Solution

The third proportional to 302,427 and 444,880 is: 654,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,427 : 444,880 = 444,880 : x
  2. Step 2: Convert to fraction form
    302,427/444,880 = 444,880/x
  3. Step 3: Cross multiply
    302,427x = 444,880 × 444,880
  4. Step 4: Simplify right side
    302,427x = 197,918,214,400
  5. Step 5: Solve for x
    x = 197,918,214,400/302,427
  6. Step 6: Final answer
    x = 654,433.02

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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.