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Finding the Third Proportional to 444,200 and 971,248

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Solution

The third proportional to 444,200 and 971,248 is: 2,123,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,200 : 971,248 = 971,248 : x
  2. Step 2: Convert to fraction form
    444,200/971,248 = 971,248/x
  3. Step 3: Cross multiply
    444,200x = 971,248 × 971,248
  4. Step 4: Simplify right side
    444,200x = 943,322,677,504
  5. Step 5: Solve for x
    x = 943,322,677,504/444,200
  6. Step 6: Final answer
    x = 2,123,644.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.