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Finding the Third Proportional to 433,584 and 647,112

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Solution

The third proportional to 433,584 and 647,112 is: 965,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,584 : 647,112 = 647,112 : x
  2. Step 2: Convert to fraction form
    433,584/647,112 = 647,112/x
  3. Step 3: Cross multiply
    433,584x = 647,112 × 647,112
  4. Step 4: Simplify right side
    433,584x = 418,753,940,544
  5. Step 5: Solve for x
    x = 418,753,940,544/433,584
  6. Step 6: Final answer
    x = 965,796.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.