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Finding the Third Proportional to 394,980.75 and 595,957.50

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Solution

The third proportional to 394,980.75 and 595,957.50 is: 899,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,980.75 : 595,957.50 = 595,957.50 : x
  2. Step 2: Convert to fraction form
    394,980.75/595,957.50 = 595,957.50/x
  3. Step 3: Cross multiply
    394,980.75x = 595,957.50 × 595,957.50
  4. Step 4: Simplify right side
    394,980.75x = 355,165,341,806.25
  5. Step 5: Solve for x
    x = 355,165,341,806.25/394,980.75
  6. Step 6: Final answer
    x = 899,196.59

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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.