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Finding the Third Proportional to 351,808 and 829,662

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Solution

The third proportional to 351,808 and 829,662 is: 1,956,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,808 : 829,662 = 829,662 : x
  2. Step 2: Convert to fraction form
    351,808/829,662 = 829,662/x
  3. Step 3: Cross multiply
    351,808x = 829,662 × 829,662
  4. Step 4: Simplify right side
    351,808x = 688,339,034,244
  5. Step 5: Solve for x
    x = 688,339,034,244/351,808
  6. Step 6: Final answer
    x = 1,956,575.84

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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.