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Finding the Third Proportional to 217,573 and 471,433

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Solution

The third proportional to 217,573 and 471,433 is: 1,021,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,573 : 471,433 = 471,433 : x
  2. Step 2: Convert to fraction form
    217,573/471,433 = 471,433/x
  3. Step 3: Cross multiply
    217,573x = 471,433 × 471,433
  4. Step 4: Simplify right side
    217,573x = 222,249,073,489
  5. Step 5: Solve for x
    x = 222,249,073,489/217,573
  6. Step 6: Final answer
    x = 1,021,491.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.