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Finding the Third Proportional to 361,951 and 794,797

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Solution

The third proportional to 361,951 and 794,797 is: 1,745,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,951 : 794,797 = 794,797 : x
  2. Step 2: Convert to fraction form
    361,951/794,797 = 794,797/x
  3. Step 3: Cross multiply
    361,951x = 794,797 × 794,797
  4. Step 4: Simplify right side
    361,951x = 631,702,271,209
  5. Step 5: Solve for x
    x = 631,702,271,209/361,951
  6. Step 6: Final answer
    x = 1,745,270.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.