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Finding the Third Proportional to 219,204.56 and 471,043.48

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Solution

The third proportional to 219,204.56 and 471,043.48 is: 1,012,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,204.56 : 471,043.48 = 471,043.48 : x
  2. Step 2: Convert to fraction form
    219,204.56/471,043.48 = 471,043.48/x
  3. Step 3: Cross multiply
    219,204.56x = 471,043.48 × 471,043.48
  4. Step 4: Simplify right side
    219,204.56x = 221,881,956,812.09
  5. Step 5: Solve for x
    x = 221,881,956,812.09/219,204.56
  6. Step 6: Final answer
    x = 1,012,214.14

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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.