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Finding the Third Proportional to 384,631.50 and 597,107.25

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Solution

The third proportional to 384,631.50 and 597,107.25 is: 926,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,631.50 : 597,107.25 = 597,107.25 : x
  2. Step 2: Convert to fraction form
    384,631.50/597,107.25 = 597,107.25/x
  3. Step 3: Cross multiply
    384,631.50x = 597,107.25 × 597,107.25
  4. Step 4: Simplify right side
    384,631.50x = 356,537,068,002.56
  5. Step 5: Solve for x
    x = 356,537,068,002.56/384,631.50
  6. Step 6: Final answer
    x = 926,957.54

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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.