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Finding the Third Proportional to 217,384 and 448,736

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Solution

The third proportional to 217,384 and 448,736 is: 926,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,384 : 448,736 = 448,736 : x
  2. Step 2: Convert to fraction form
    217,384/448,736 = 448,736/x
  3. Step 3: Cross multiply
    217,384x = 448,736 × 448,736
  4. Step 4: Simplify right side
    217,384x = 201,363,997,696
  5. Step 5: Solve for x
    x = 201,363,997,696/217,384
  6. Step 6: Final answer
    x = 926,305.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.