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Finding the Third Proportional to 217,464 and 449,841

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Solution

The third proportional to 217,464 and 449,841 is: 930,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,464 : 449,841 = 449,841 : x
  2. Step 2: Convert to fraction form
    217,464/449,841 = 449,841/x
  3. Step 3: Cross multiply
    217,464x = 449,841 × 449,841
  4. Step 4: Simplify right side
    217,464x = 202,356,925,281
  5. Step 5: Solve for x
    x = 202,356,925,281/217,464
  6. Step 6: Final answer
    x = 930,530.69

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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.