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Finding the Third Proportional to 492,226.88 and 759,340.13

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Solution

The third proportional to 492,226.88 and 759,340.13 is: 1,171,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,226.88 : 759,340.13 = 759,340.13 : x
  2. Step 2: Convert to fraction form
    492,226.88/759,340.13 = 759,340.13/x
  3. Step 3: Cross multiply
    492,226.88x = 759,340.13 × 759,340.13
  4. Step 4: Simplify right side
    492,226.88x = 576,597,425,435.02
  5. Step 5: Solve for x
    x = 576,597,425,435.02/492,226.88
  6. Step 6: Final answer
    x = 1,171,405.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.