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Finding the Third Proportional to 302,880.94 and 660,770.44

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Solution

The third proportional to 302,880.94 and 660,770.44 is: 1,441,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,880.94 : 660,770.44 = 660,770.44 : x
  2. Step 2: Convert to fraction form
    302,880.94/660,770.44 = 660,770.44/x
  3. Step 3: Cross multiply
    302,880.94x = 660,770.44 × 660,770.44
  4. Step 4: Simplify right side
    302,880.94x = 436,617,571,073.94
  5. Step 5: Solve for x
    x = 436,617,571,073.94/302,880.94
  6. Step 6: Final answer
    x = 1,441,548.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.