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Finding the Third Proportional to 219,149 and 471,588

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Solution

The third proportional to 219,149 and 471,588 is: 1,014,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,149 : 471,588 = 471,588 : x
  2. Step 2: Convert to fraction form
    219,149/471,588 = 471,588/x
  3. Step 3: Cross multiply
    219,149x = 471,588 × 471,588
  4. Step 4: Simplify right side
    219,149x = 222,395,241,744
  5. Step 5: Solve for x
    x = 222,395,241,744/219,149
  6. Step 6: Final answer
    x = 1,014,812.94

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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.