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Finding the Third Proportional to 447,788.25 and 964,877.06

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Solution

The third proportional to 447,788.25 and 964,877.06 is: 2,079,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,788.25 : 964,877.06 = 964,877.06 : x
  2. Step 2: Convert to fraction form
    447,788.25/964,877.06 = 964,877.06/x
  3. Step 3: Cross multiply
    447,788.25x = 964,877.06 × 964,877.06
  4. Step 4: Simplify right side
    447,788.25x = 930,987,745,738.63
  5. Step 5: Solve for x
    x = 930,987,745,738.63/447,788.25
  6. Step 6: Final answer
    x = 2,079,080.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.