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Finding the Third Proportional to 476,560.97 and 929,176.31

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Solution

The third proportional to 476,560.97 and 929,176.31 is: 1,811,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,560.97 : 929,176.31 = 929,176.31 : x
  2. Step 2: Convert to fraction form
    476,560.97/929,176.31 = 929,176.31/x
  3. Step 3: Cross multiply
    476,560.97x = 929,176.31 × 929,176.31
  4. Step 4: Simplify right side
    476,560.97x = 863,368,619,711.10
  5. Step 5: Solve for x
    x = 863,368,619,711.10/476,560.97
  6. Step 6: Final answer
    x = 1,811,664.56

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