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Finding the Third Proportional to 309,168 and 656,244

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Solution

The third proportional to 309,168 and 656,244 is: 1,392,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,168 : 656,244 = 656,244 : x
  2. Step 2: Convert to fraction form
    309,168/656,244 = 656,244/x
  3. Step 3: Cross multiply
    309,168x = 656,244 × 656,244
  4. Step 4: Simplify right side
    309,168x = 430,656,187,536
  5. Step 5: Solve for x
    x = 430,656,187,536/309,168
  6. Step 6: Final answer
    x = 1,392,952.01

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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.