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Finding the Third Proportional to 269,896 and 384,472

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Solution

The third proportional to 269,896 and 384,472 is: 547,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,896 : 384,472 = 384,472 : x
  2. Step 2: Convert to fraction form
    269,896/384,472 = 384,472/x
  3. Step 3: Cross multiply
    269,896x = 384,472 × 384,472
  4. Step 4: Simplify right side
    269,896x = 147,818,718,784
  5. Step 5: Solve for x
    x = 147,818,718,784/269,896
  6. Step 6: Final answer
    x = 547,687.70

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.