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Finding the Third Proportional to 359,936 and 775,168

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Solution

The third proportional to 359,936 and 775,168 is: 1,669,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,936 : 775,168 = 775,168 : x
  2. Step 2: Convert to fraction form
    359,936/775,168 = 775,168/x
  3. Step 3: Cross multiply
    359,936x = 775,168 × 775,168
  4. Step 4: Simplify right side
    359,936x = 600,885,428,224
  5. Step 5: Solve for x
    x = 600,885,428,224/359,936
  6. Step 6: Final answer
    x = 1,669,422.98

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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.