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Finding the Third Proportional to 219,513 and 471,754

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Solution

The third proportional to 219,513 and 471,754 is: 1,013,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,513 : 471,754 = 471,754 : x
  2. Step 2: Convert to fraction form
    219,513/471,754 = 471,754/x
  3. Step 3: Cross multiply
    219,513x = 471,754 × 471,754
  4. Step 4: Simplify right side
    219,513x = 222,551,836,516
  5. Step 5: Solve for x
    x = 222,551,836,516/219,513
  6. Step 6: Final answer
    x = 1,013,843.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.