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Finding the Third Proportional to 396,829 and 832,968

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Solution

The third proportional to 396,829 and 832,968 is: 1,748,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,829 : 832,968 = 832,968 : x
  2. Step 2: Convert to fraction form
    396,829/832,968 = 832,968/x
  3. Step 3: Cross multiply
    396,829x = 832,968 × 832,968
  4. Step 4: Simplify right side
    396,829x = 693,835,689,024
  5. Step 5: Solve for x
    x = 693,835,689,024/396,829
  6. Step 6: Final answer
    x = 1,748,450.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.