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Finding the Third Proportional to 557,930 and 810,975

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Solution

The third proportional to 557,930 and 810,975 is: 1,178,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,930 : 810,975 = 810,975 : x
  2. Step 2: Convert to fraction form
    557,930/810,975 = 810,975/x
  3. Step 3: Cross multiply
    557,930x = 810,975 × 810,975
  4. Step 4: Simplify right side
    557,930x = 657,680,450,625
  5. Step 5: Solve for x
    x = 657,680,450,625/557,930
  6. Step 6: Final answer
    x = 1,178,786.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.