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Finding the Third Proportional to 425,536 and 647,520

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Solution

The third proportional to 425,536 and 647,520 is: 985,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,536 : 647,520 = 647,520 : x
  2. Step 2: Convert to fraction form
    425,536/647,520 = 647,520/x
  3. Step 3: Cross multiply
    425,536x = 647,520 × 647,520
  4. Step 4: Simplify right side
    425,536x = 419,282,150,400
  5. Step 5: Solve for x
    x = 419,282,150,400/425,536
  6. Step 6: Final answer
    x = 985,303.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.