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Finding the Third Proportional to 376,958.81 and 764,852.63

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Solution

The third proportional to 376,958.81 and 764,852.63 is: 1,551,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,958.81 : 764,852.63 = 764,852.63 : x
  2. Step 2: Convert to fraction form
    376,958.81/764,852.63 = 764,852.63/x
  3. Step 3: Cross multiply
    376,958.81x = 764,852.63 × 764,852.63
  4. Step 4: Simplify right side
    376,958.81x = 584,999,537,969.39
  5. Step 5: Solve for x
    x = 584,999,537,969.39/376,958.81
  6. Step 6: Final answer
    x = 1,551,892.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.