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Finding the Third Proportional to 275,914 and 603,488

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Solution

The third proportional to 275,914 and 603,488 is: 1,319,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,914 : 603,488 = 603,488 : x
  2. Step 2: Convert to fraction form
    275,914/603,488 = 603,488/x
  3. Step 3: Cross multiply
    275,914x = 603,488 × 603,488
  4. Step 4: Simplify right side
    275,914x = 364,197,766,144
  5. Step 5: Solve for x
    x = 364,197,766,144/275,914
  6. Step 6: Final answer
    x = 1,319,968.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.