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Finding the Third Proportional to 280,676.25 and 676,692

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Solution

The third proportional to 280,676.25 and 676,692 is: 1,631,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,676.25 : 676,692 = 676,692 : x
  2. Step 2: Convert to fraction form
    280,676.25/676,692 = 676,692/x
  3. Step 3: Cross multiply
    280,676.25x = 676,692 × 676,692
  4. Step 4: Simplify right side
    280,676.25x = 457,912,062,864
  5. Step 5: Solve for x
    x = 457,912,062,864/280,676.25
  6. Step 6: Final answer
    x = 1,631,459.96

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.