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Finding the Third Proportional to 205,746 and 448,908

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Solution

The third proportional to 205,746 and 448,908 is: 979,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746 : 448,908 = 448,908 : x
  2. Step 2: Convert to fraction form
    205,746/448,908 = 448,908/x
  3. Step 3: Cross multiply
    205,746x = 448,908 × 448,908
  4. Step 4: Simplify right side
    205,746x = 201,518,392,464
  5. Step 5: Solve for x
    x = 201,518,392,464/205,746
  6. Step 6: Final answer
    x = 979,452.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.