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Finding the Third Proportional to 384,853 and 603,704

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Solution

The third proportional to 384,853 and 603,704 is: 947,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,853 : 603,704 = 603,704 : x
  2. Step 2: Convert to fraction form
    384,853/603,704 = 603,704/x
  3. Step 3: Cross multiply
    384,853x = 603,704 × 603,704
  4. Step 4: Simplify right side
    384,853x = 364,458,519,616
  5. Step 5: Solve for x
    x = 364,458,519,616/384,853
  6. Step 6: Final answer
    x = 947,007.09

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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.