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Finding the Third Proportional to 352,410.75 and 768,345.75

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Solution

The third proportional to 352,410.75 and 768,345.75 is: 1,675,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,410.75 : 768,345.75 = 768,345.75 : x
  2. Step 2: Convert to fraction form
    352,410.75/768,345.75 = 768,345.75/x
  3. Step 3: Cross multiply
    352,410.75x = 768,345.75 × 768,345.75
  4. Step 4: Simplify right side
    352,410.75x = 590,355,191,543.06
  5. Step 5: Solve for x
    x = 590,355,191,543.06/352,410.75
  6. Step 6: Final answer
    x = 1,675,190.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.