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Finding the Third Proportional to 352,402.69 and 536,865.56

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Solution

The third proportional to 352,402.69 and 536,865.56 is: 817,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,402.69 : 536,865.56 = 536,865.56 : x
  2. Step 2: Convert to fraction form
    352,402.69/536,865.56 = 536,865.56/x
  3. Step 3: Cross multiply
    352,402.69x = 536,865.56 × 536,865.56
  4. Step 4: Simplify right side
    352,402.69x = 288,224,632,198.44
  5. Step 5: Solve for x
    x = 288,224,632,198.44/352,402.69
  6. Step 6: Final answer
    x = 817,884.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.