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Finding the Third Proportional to 309,716 and 656,647

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Solution

The third proportional to 309,716 and 656,647 is: 1,392,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,716 : 656,647 = 656,647 : x
  2. Step 2: Convert to fraction form
    309,716/656,647 = 656,647/x
  3. Step 3: Cross multiply
    309,716x = 656,647 × 656,647
  4. Step 4: Simplify right side
    309,716x = 431,185,282,609
  5. Step 5: Solve for x
    x = 431,185,282,609/309,716
  6. Step 6: Final answer
    x = 1,392,195.70

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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.