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Finding the Third Proportional to 396,618.75 and 578,315.25

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Solution

The third proportional to 396,618.75 and 578,315.25 is: 843,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,618.75 : 578,315.25 = 578,315.25 : x
  2. Step 2: Convert to fraction form
    396,618.75/578,315.25 = 578,315.25/x
  3. Step 3: Cross multiply
    396,618.75x = 578,315.25 × 578,315.25
  4. Step 4: Simplify right side
    396,618.75x = 334,448,528,382.56
  5. Step 5: Solve for x
    x = 334,448,528,382.56/396,618.75
  6. Step 6: Final answer
    x = 843,249.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.