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Finding the Third Proportional to 287,736 and 435,600

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Solution

The third proportional to 287,736 and 435,600 is: 659,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,736 : 435,600 = 435,600 : x
  2. Step 2: Convert to fraction form
    287,736/435,600 = 435,600/x
  3. Step 3: Cross multiply
    287,736x = 435,600 × 435,600
  4. Step 4: Simplify right side
    287,736x = 189,747,360,000
  5. Step 5: Solve for x
    x = 189,747,360,000/287,736
  6. Step 6: Final answer
    x = 659,449.50

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