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Finding the Third Proportional to 326,215.50 and 476,735.25

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Solution

The third proportional to 326,215.50 and 476,735.25 is: 696,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,215.50 : 476,735.25 = 476,735.25 : x
  2. Step 2: Convert to fraction form
    326,215.50/476,735.25 = 476,735.25/x
  3. Step 3: Cross multiply
    326,215.50x = 476,735.25 × 476,735.25
  4. Step 4: Simplify right side
    326,215.50x = 227,276,498,592.56
  5. Step 5: Solve for x
    x = 227,276,498,592.56/326,215.50
  6. Step 6: Final answer
    x = 696,706.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.