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Finding the Third Proportional to 290,514 and 396,063.75

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Solution

The third proportional to 290,514 and 396,063.75 is: 539,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,514 : 396,063.75 = 396,063.75 : x
  2. Step 2: Convert to fraction form
    290,514/396,063.75 = 396,063.75/x
  3. Step 3: Cross multiply
    290,514x = 396,063.75 × 396,063.75
  4. Step 4: Simplify right side
    290,514x = 156,866,494,064.06
  5. Step 5: Solve for x
    x = 156,866,494,064.06/290,514
  6. Step 6: Final answer
    x = 539,961.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.