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Finding the Third Proportional to 359,784 and 792,009

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Solution

The third proportional to 359,784 and 792,009 is: 1,743,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,784 : 792,009 = 792,009 : x
  2. Step 2: Convert to fraction form
    359,784/792,009 = 792,009/x
  3. Step 3: Cross multiply
    359,784x = 792,009 × 792,009
  4. Step 4: Simplify right side
    359,784x = 627,278,256,081
  5. Step 5: Solve for x
    x = 627,278,256,081/359,784
  6. Step 6: Final answer
    x = 1,743,485.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.