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Finding the Third Proportional to 384,591 and 597,051

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Solution

The third proportional to 384,591 and 597,051 is: 926,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,591 : 597,051 = 597,051 : x
  2. Step 2: Convert to fraction form
    384,591/597,051 = 597,051/x
  3. Step 3: Cross multiply
    384,591x = 597,051 × 597,051
  4. Step 4: Simplify right side
    384,591x = 356,469,896,601
  5. Step 5: Solve for x
    x = 356,469,896,601/384,591
  6. Step 6: Final answer
    x = 926,880.50

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Why These Related Problems?

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