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Finding the Third Proportional to 352,441.13 and 536,923.69

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Solution

The third proportional to 352,441.13 and 536,923.69 is: 817,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,441.13 : 536,923.69 = 536,923.69 : x
  2. Step 2: Convert to fraction form
    352,441.13/536,923.69 = 536,923.69/x
  3. Step 3: Cross multiply
    352,441.13x = 536,923.69 × 536,923.69
  4. Step 4: Simplify right side
    352,441.13x = 288,287,046,198.60
  5. Step 5: Solve for x
    x = 288,287,046,198.60/352,441.13
  6. Step 6: Final answer
    x = 817,972.21

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Why These Related Problems?

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