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Finding the Third Proportional to 350,494 and 765,851

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Solution

The third proportional to 350,494 and 765,851 is: 1,673,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,494 : 765,851 = 765,851 : x
  2. Step 2: Convert to fraction form
    350,494/765,851 = 765,851/x
  3. Step 3: Cross multiply
    350,494x = 765,851 × 765,851
  4. Step 4: Simplify right side
    350,494x = 586,527,754,201
  5. Step 5: Solve for x
    x = 586,527,754,201/350,494
  6. Step 6: Final answer
    x = 1,673,431.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.