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Finding the Third Proportional to 287,276.88 and 434,914.75

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Solution

The third proportional to 287,276.88 and 434,914.75 is: 658,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,276.88 : 434,914.75 = 434,914.75 : x
  2. Step 2: Convert to fraction form
    287,276.88/434,914.75 = 434,914.75/x
  3. Step 3: Cross multiply
    287,276.88x = 434,914.75 × 434,914.75
  4. Step 4: Simplify right side
    287,276.88x = 189,150,839,767.56
  5. Step 5: Solve for x
    x = 189,150,839,767.56/287,276.88
  6. Step 6: Final answer
    x = 658,426.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.