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Finding the Third Proportional to 448,338 and 971,367

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Solution

The third proportional to 448,338 and 971,367 is: 2,104,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,338 : 971,367 = 971,367 : x
  2. Step 2: Convert to fraction form
    448,338/971,367 = 971,367/x
  3. Step 3: Cross multiply
    448,338x = 971,367 × 971,367
  4. Step 4: Simplify right side
    448,338x = 943,553,848,689
  5. Step 5: Solve for x
    x = 943,553,848,689/448,338
  6. Step 6: Final answer
    x = 2,104,559.17

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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.