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Finding the Third Proportional to 378,796.50 and 817,682.34

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Solution

The third proportional to 378,796.50 and 817,682.34 is: 1,765,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,796.50 : 817,682.34 = 817,682.34 : x
  2. Step 2: Convert to fraction form
    378,796.50/817,682.34 = 817,682.34/x
  3. Step 3: Cross multiply
    378,796.50x = 817,682.34 × 817,682.34
  4. Step 4: Simplify right side
    378,796.50x = 668,604,415,280.49
  5. Step 5: Solve for x
    x = 668,604,415,280.49/378,796.50
  6. Step 6: Final answer
    x = 1,765,075.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.