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Finding the Third Proportional to 293,880 and 441,630

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Solution

The third proportional to 293,880 and 441,630 is: 663,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,880 : 441,630 = 441,630 : x
  2. Step 2: Convert to fraction form
    293,880/441,630 = 441,630/x
  3. Step 3: Cross multiply
    293,880x = 441,630 × 441,630
  4. Step 4: Simplify right side
    293,880x = 195,037,056,900
  5. Step 5: Solve for x
    x = 195,037,056,900/293,880
  6. Step 6: Final answer
    x = 663,662.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.