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Finding the Third Proportional to 302,096 and 617,344

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Solution

The third proportional to 302,096 and 617,344 is: 1,261,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096 : 617,344 = 617,344 : x
  2. Step 2: Convert to fraction form
    302,096/617,344 = 617,344/x
  3. Step 3: Cross multiply
    302,096x = 617,344 × 617,344
  4. Step 4: Simplify right side
    302,096x = 381,113,614,336
  5. Step 5: Solve for x
    x = 381,113,614,336/302,096
  6. Step 6: Final answer
    x = 1,261,564.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.