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Finding the Third Proportional to 384,691.50 and 603,444.75

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Solution

The third proportional to 384,691.50 and 603,444.75 is: 946,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,691.50 : 603,444.75 = 603,444.75 : x
  2. Step 2: Convert to fraction form
    384,691.50/603,444.75 = 603,444.75/x
  3. Step 3: Cross multiply
    384,691.50x = 603,444.75 × 603,444.75
  4. Step 4: Simplify right side
    384,691.50x = 364,145,566,302.56
  5. Step 5: Solve for x
    x = 364,145,566,302.56/384,691.50
  6. Step 6: Final answer
    x = 946,591.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.