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Finding the Third Proportional to 384,357 and 597,176

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Solution

The third proportional to 384,357 and 597,176 is: 927,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,357 : 597,176 = 597,176 : x
  2. Step 2: Convert to fraction form
    384,357/597,176 = 597,176/x
  3. Step 3: Cross multiply
    384,357x = 597,176 × 597,176
  4. Step 4: Simplify right side
    384,357x = 356,619,174,976
  5. Step 5: Solve for x
    x = 356,619,174,976/384,357
  6. Step 6: Final answer
    x = 927,833.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.