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Finding the Third Proportional to 269,784 and 395,928

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Solution

The third proportional to 269,784 and 395,928 is: 581,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,784 : 395,928 = 395,928 : x
  2. Step 2: Convert to fraction form
    269,784/395,928 = 395,928/x
  3. Step 3: Cross multiply
    269,784x = 395,928 × 395,928
  4. Step 4: Simplify right side
    269,784x = 156,758,981,184
  5. Step 5: Solve for x
    x = 156,758,981,184/269,784
  6. Step 6: Final answer
    x = 581,053.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.