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Finding the Third Proportional to 280,192 and 599,747

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Solution

The third proportional to 280,192 and 599,747 is: 1,283,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,192 : 599,747 = 599,747 : x
  2. Step 2: Convert to fraction form
    280,192/599,747 = 599,747/x
  3. Step 3: Cross multiply
    280,192x = 599,747 × 599,747
  4. Step 4: Simplify right side
    280,192x = 359,696,464,009
  5. Step 5: Solve for x
    x = 359,696,464,009/280,192
  6. Step 6: Final answer
    x = 1,283,749.94

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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.