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Finding the Third Proportional to 359,397 and 854,631

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Solution

The third proportional to 359,397 and 854,631 is: 2,032,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,397 : 854,631 = 854,631 : x
  2. Step 2: Convert to fraction form
    359,397/854,631 = 854,631/x
  3. Step 3: Cross multiply
    359,397x = 854,631 × 854,631
  4. Step 4: Simplify right side
    359,397x = 730,394,146,161
  5. Step 5: Solve for x
    x = 730,394,146,161/359,397
  6. Step 6: Final answer
    x = 2,032,276.69

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.