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Finding the Third Proportional to 217,458 and 449,838

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Solution

The third proportional to 217,458 and 449,838 is: 930,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,458 : 449,838 = 449,838 : x
  2. Step 2: Convert to fraction form
    217,458/449,838 = 449,838/x
  3. Step 3: Cross multiply
    217,458x = 449,838 × 449,838
  4. Step 4: Simplify right side
    217,458x = 202,354,226,244
  5. Step 5: Solve for x
    x = 202,354,226,244/217,458
  6. Step 6: Final answer
    x = 930,543.95

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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.