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Finding the Third Proportional to 217,447 and 441,007

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Solution

The third proportional to 217,447 and 441,007 is: 894,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,447 : 441,007 = 441,007 : x
  2. Step 2: Convert to fraction form
    217,447/441,007 = 441,007/x
  3. Step 3: Cross multiply
    217,447x = 441,007 × 441,007
  4. Step 4: Simplify right side
    217,447x = 194,487,174,049
  5. Step 5: Solve for x
    x = 194,487,174,049/217,447
  6. Step 6: Final answer
    x = 894,411.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.