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Finding the Third Proportional to 384,843.75 and 603,691.50

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Solution

The third proportional to 384,843.75 and 603,691.50 is: 946,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,843.75 : 603,691.50 = 603,691.50 : x
  2. Step 2: Convert to fraction form
    384,843.75/603,691.50 = 603,691.50/x
  3. Step 3: Cross multiply
    384,843.75x = 603,691.50 × 603,691.50
  4. Step 4: Simplify right side
    384,843.75x = 364,443,427,172.25
  5. Step 5: Solve for x
    x = 364,443,427,172.25/384,843.75
  6. Step 6: Final answer
    x = 946,990.63

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Why These Related Problems?

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