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Finding the Third Proportional to 281,186 and 663,749

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Solution

The third proportional to 281,186 and 663,749 is: 1,566,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,186 : 663,749 = 663,749 : x
  2. Step 2: Convert to fraction form
    281,186/663,749 = 663,749/x
  3. Step 3: Cross multiply
    281,186x = 663,749 × 663,749
  4. Step 4: Simplify right side
    281,186x = 440,562,735,001
  5. Step 5: Solve for x
    x = 440,562,735,001/281,186
  6. Step 6: Final answer
    x = 1,566,801.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.