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Finding the Third Proportional to 339,198 and 527,470.50

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Solution

The third proportional to 339,198 and 527,470.50 is: 820,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,198 : 527,470.50 = 527,470.50 : x
  2. Step 2: Convert to fraction form
    339,198/527,470.50 = 527,470.50/x
  3. Step 3: Cross multiply
    339,198x = 527,470.50 × 527,470.50
  4. Step 4: Simplify right side
    339,198x = 278,225,128,370.25
  5. Step 5: Solve for x
    x = 278,225,128,370.25/339,198
  6. Step 6: Final answer
    x = 820,244.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.