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Finding the Third Proportional to 309,870 and 656,946

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Solution

The third proportional to 309,870 and 656,946 is: 1,392,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,870 : 656,946 = 656,946 : x
  2. Step 2: Convert to fraction form
    309,870/656,946 = 656,946/x
  3. Step 3: Cross multiply
    309,870x = 656,946 × 656,946
  4. Step 4: Simplify right side
    309,870x = 431,578,046,916
  5. Step 5: Solve for x
    x = 431,578,046,916/309,870
  6. Step 6: Final answer
    x = 1,392,771.31

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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.