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Finding the Third Proportional to 450,448 and 979,302

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Solution

The third proportional to 450,448 and 979,302 is: 2,129,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,448 : 979,302 = 979,302 : x
  2. Step 2: Convert to fraction form
    450,448/979,302 = 979,302/x
  3. Step 3: Cross multiply
    450,448x = 979,302 × 979,302
  4. Step 4: Simplify right side
    450,448x = 959,032,407,204
  5. Step 5: Solve for x
    x = 959,032,407,204/450,448
  6. Step 6: Final answer
    x = 2,129,063.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.