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Finding the Third Proportional to 216,880 and 469,954

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Solution

The third proportional to 216,880 and 469,954 is: 1,018,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880 : 469,954 = 469,954 : x
  2. Step 2: Convert to fraction form
    216,880/469,954 = 469,954/x
  3. Step 3: Cross multiply
    216,880x = 469,954 × 469,954
  4. Step 4: Simplify right side
    216,880x = 220,856,762,116
  5. Step 5: Solve for x
    x = 220,856,762,116/216,880
  6. Step 6: Final answer
    x = 1,018,336.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.