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Finding the Third Proportional to 359,864 and 775,087

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Solution

The third proportional to 359,864 and 775,087 is: 1,669,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,864 : 775,087 = 775,087 : x
  2. Step 2: Convert to fraction form
    359,864/775,087 = 775,087/x
  3. Step 3: Cross multiply
    359,864x = 775,087 × 775,087
  4. Step 4: Simplify right side
    359,864x = 600,759,857,569
  5. Step 5: Solve for x
    x = 600,759,857,569/359,864
  6. Step 6: Final answer
    x = 1,669,408.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.