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Finding the Third Proportional to 309,787 and 656,732

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Solution

The third proportional to 309,787 and 656,732 is: 1,392,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,787 : 656,732 = 656,732 : x
  2. Step 2: Convert to fraction form
    309,787/656,732 = 656,732/x
  3. Step 3: Cross multiply
    309,787x = 656,732 × 656,732
  4. Step 4: Simplify right side
    309,787x = 431,296,919,824
  5. Step 5: Solve for x
    x = 431,296,919,824/309,787
  6. Step 6: Final answer
    x = 1,392,236.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.