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Finding the Third Proportional to 285,744 and 603,296

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Solution

The third proportional to 285,744 and 603,296 is: 1,273,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,744 : 603,296 = 603,296 : x
  2. Step 2: Convert to fraction form
    285,744/603,296 = 603,296/x
  3. Step 3: Cross multiply
    285,744x = 603,296 × 603,296
  4. Step 4: Simplify right side
    285,744x = 363,966,063,616
  5. Step 5: Solve for x
    x = 363,966,063,616/285,744
  6. Step 6: Final answer
    x = 1,273,748.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.