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Finding the Third Proportional to 366,318 and 760,698

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Solution

The third proportional to 366,318 and 760,698 is: 1,579,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,318 : 760,698 = 760,698 : x
  2. Step 2: Convert to fraction form
    366,318/760,698 = 760,698/x
  3. Step 3: Cross multiply
    366,318x = 760,698 × 760,698
  4. Step 4: Simplify right side
    366,318x = 578,661,447,204
  5. Step 5: Solve for x
    x = 578,661,447,204/366,318
  6. Step 6: Final answer
    x = 1,579,669.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.