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Finding the Third Proportional to 433,280.25 and 647,529.75

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Solution

The third proportional to 433,280.25 and 647,529.75 is: 967,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,280.25 : 647,529.75 = 647,529.75 : x
  2. Step 2: Convert to fraction form
    433,280.25/647,529.75 = 647,529.75/x
  3. Step 3: Cross multiply
    433,280.25x = 647,529.75 × 647,529.75
  4. Step 4: Simplify right side
    433,280.25x = 419,294,777,135.06
  5. Step 5: Solve for x
    x = 419,294,777,135.06/433,280.25
  6. Step 6: Final answer
    x = 967,721.88

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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.