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Finding the Third Proportional to 326,731.50 and 703,518.75

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Solution

The third proportional to 326,731.50 and 703,518.75 is: 1,514,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,731.50 : 703,518.75 = 703,518.75 : x
  2. Step 2: Convert to fraction form
    326,731.50/703,518.75 = 703,518.75/x
  3. Step 3: Cross multiply
    326,731.50x = 703,518.75 × 703,518.75
  4. Step 4: Simplify right side
    326,731.50x = 494,938,631,601.56
  5. Step 5: Solve for x
    x = 494,938,631,601.56/326,731.50
  6. Step 6: Final answer
    x = 1,514,817.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.