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Finding the Third Proportional to 216,016 and 471,330

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Solution

The third proportional to 216,016 and 471,330 is: 1,028,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,016 : 471,330 = 471,330 : x
  2. Step 2: Convert to fraction form
    216,016/471,330 = 471,330/x
  3. Step 3: Cross multiply
    216,016x = 471,330 × 471,330
  4. Step 4: Simplify right side
    216,016x = 222,151,968,900
  5. Step 5: Solve for x
    x = 222,151,968,900/216,016
  6. Step 6: Final answer
    x = 1,028,405.16

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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.