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Finding the Third Proportional to 219,150 and 471,591

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Solution

The third proportional to 219,150 and 471,591 is: 1,014,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,150 : 471,591 = 471,591 : x
  2. Step 2: Convert to fraction form
    219,150/471,591 = 471,591/x
  3. Step 3: Cross multiply
    219,150x = 471,591 × 471,591
  4. Step 4: Simplify right side
    219,150x = 222,398,071,281
  5. Step 5: Solve for x
    x = 222,398,071,281/219,150
  6. Step 6: Final answer
    x = 1,014,821.22

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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.