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Finding the Third Proportional to 280,672.50 and 612,132

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Solution

The third proportional to 280,672.50 and 612,132 is: 1,335,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,672.50 : 612,132 = 612,132 : x
  2. Step 2: Convert to fraction form
    280,672.50/612,132 = 612,132/x
  3. Step 3: Cross multiply
    280,672.50x = 612,132 × 612,132
  4. Step 4: Simplify right side
    280,672.50x = 374,705,585,424
  5. Step 5: Solve for x
    x = 374,705,585,424/280,672.50
  6. Step 6: Final answer
    x = 1,335,027.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.