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Finding the Third Proportional to 280,507.25 and 601,200.75

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Solution

The third proportional to 280,507.25 and 601,200.75 is: 1,288,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,507.25 : 601,200.75 = 601,200.75 : x
  2. Step 2: Convert to fraction form
    280,507.25/601,200.75 = 601,200.75/x
  3. Step 3: Cross multiply
    280,507.25x = 601,200.75 × 601,200.75
  4. Step 4: Simplify right side
    280,507.25x = 361,442,341,800.56
  5. Step 5: Solve for x
    x = 361,442,341,800.56/280,507.25
  6. Step 6: Final answer
    x = 1,288,531.19

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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.