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Finding the Third Proportional to 280,992 and 601,488

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Solution

The third proportional to 280,992 and 601,488 is: 1,287,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,992 : 601,488 = 601,488 : x
  2. Step 2: Convert to fraction form
    280,992/601,488 = 601,488/x
  3. Step 3: Cross multiply
    280,992x = 601,488 × 601,488
  4. Step 4: Simplify right side
    280,992x = 361,787,814,144
  5. Step 5: Solve for x
    x = 361,787,814,144/280,992
  6. Step 6: Final answer
    x = 1,287,537.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.