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Finding the Third Proportional to 219,962 and 471,028

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Solution

The third proportional to 219,962 and 471,028 is: 1,008,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,962 : 471,028 = 471,028 : x
  2. Step 2: Convert to fraction form
    219,962/471,028 = 471,028/x
  3. Step 3: Cross multiply
    219,962x = 471,028 × 471,028
  4. Step 4: Simplify right side
    219,962x = 221,867,376,784
  5. Step 5: Solve for x
    x = 221,867,376,784/219,962
  6. Step 6: Final answer
    x = 1,008,662.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.