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Finding the Third Proportional to 219,143 and 471,577

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Solution

The third proportional to 219,143 and 471,577 is: 1,014,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,143 : 471,577 = 471,577 : x
  2. Step 2: Convert to fraction form
    219,143/471,577 = 471,577/x
  3. Step 3: Cross multiply
    219,143x = 471,577 × 471,577
  4. Step 4: Simplify right side
    219,143x = 222,384,866,929
  5. Step 5: Solve for x
    x = 222,384,866,929/219,143
  6. Step 6: Final answer
    x = 1,014,793.39

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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.