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Finding the Third Proportional to 378,000.94 and 599,487.38

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Solution

The third proportional to 378,000.94 and 599,487.38 is: 950,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,000.94 : 599,487.38 = 599,487.38 : x
  2. Step 2: Convert to fraction form
    378,000.94/599,487.38 = 599,487.38/x
  3. Step 3: Cross multiply
    378,000.94x = 599,487.38 × 599,487.38
  4. Step 4: Simplify right side
    378,000.94x = 359,385,112,784.39
  5. Step 5: Solve for x
    x = 359,385,112,784.39/378,000.94
  6. Step 6: Final answer
    x = 950,751.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.