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Finding the Third Proportional to 280,561.50 and 600,996.75

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Solution

The third proportional to 280,561.50 and 600,996.75 is: 1,287,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,561.50 : 600,996.75 = 600,996.75 : x
  2. Step 2: Convert to fraction form
    280,561.50/600,996.75 = 600,996.75/x
  3. Step 3: Cross multiply
    280,561.50x = 600,996.75 × 600,996.75
  4. Step 4: Simplify right side
    280,561.50x = 361,197,093,510.56
  5. Step 5: Solve for x
    x = 361,197,093,510.56/280,561.50
  6. Step 6: Final answer
    x = 1,287,407.91

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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.