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Finding the Third Proportional to 310,930 and 659,226

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Solution

The third proportional to 310,930 and 659,226 is: 1,397,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930 : 659,226 = 659,226 : x
  2. Step 2: Convert to fraction form
    310,930/659,226 = 659,226/x
  3. Step 3: Cross multiply
    310,930x = 659,226 × 659,226
  4. Step 4: Simplify right side
    310,930x = 434,578,919,076
  5. Step 5: Solve for x
    x = 434,578,919,076/310,930
  6. Step 6: Final answer
    x = 1,397,674.46

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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.