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Finding the Third Proportional to 216,996 and 469,671

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Solution

The third proportional to 216,996 and 469,671 is: 1,016,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,996 : 469,671 = 469,671 : x
  2. Step 2: Convert to fraction form
    216,996/469,671 = 469,671/x
  3. Step 3: Cross multiply
    216,996x = 469,671 × 469,671
  4. Step 4: Simplify right side
    216,996x = 220,590,848,241
  5. Step 5: Solve for x
    x = 220,590,848,241/216,996
  6. Step 6: Final answer
    x = 1,016,566.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.