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Finding the Third Proportional to 351,824 and 829,670

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Solution

The third proportional to 351,824 and 829,670 is: 1,956,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,824 : 829,670 = 829,670 : x
  2. Step 2: Convert to fraction form
    351,824/829,670 = 829,670/x
  3. Step 3: Cross multiply
    351,824x = 829,670 × 829,670
  4. Step 4: Simplify right side
    351,824x = 688,352,308,900
  5. Step 5: Solve for x
    x = 688,352,308,900/351,824
  6. Step 6: Final answer
    x = 1,956,524.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.