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Finding the Third Proportional to 351,796.50 and 686,093.63

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Solution

The third proportional to 351,796.50 and 686,093.63 is: 1,338,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,796.50 : 686,093.63 = 686,093.63 : x
  2. Step 2: Convert to fraction form
    351,796.50/686,093.63 = 686,093.63/x
  3. Step 3: Cross multiply
    351,796.50x = 686,093.63 × 686,093.63
  4. Step 4: Simplify right side
    351,796.50x = 470,724,462,265.64
  5. Step 5: Solve for x
    x = 470,724,462,265.64/351,796.50
  6. Step 6: Final answer
    x = 1,338,058.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.