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Finding the Third Proportional to 217,456 and 449,827

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Solution

The third proportional to 217,456 and 449,827 is: 930,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,456 : 449,827 = 449,827 : x
  2. Step 2: Convert to fraction form
    217,456/449,827 = 449,827/x
  3. Step 3: Cross multiply
    217,456x = 449,827 × 449,827
  4. Step 4: Simplify right side
    217,456x = 202,344,329,929
  5. Step 5: Solve for x
    x = 202,344,329,929/217,456
  6. Step 6: Final answer
    x = 930,507.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.