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Finding the Third Proportional to 359,589 and 775,221

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Solution

The third proportional to 359,589 and 775,221 is: 1,671,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,589 : 775,221 = 775,221 : x
  2. Step 2: Convert to fraction form
    359,589/775,221 = 775,221/x
  3. Step 3: Cross multiply
    359,589x = 775,221 × 775,221
  4. Step 4: Simplify right side
    359,589x = 600,967,598,841
  5. Step 5: Solve for x
    x = 600,967,598,841/359,589
  6. Step 6: Final answer
    x = 1,671,262.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.