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Finding the Third Proportional to 474,860.25 and 680,226.75

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Solution

The third proportional to 474,860.25 and 680,226.75 is: 974,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,860.25 : 680,226.75 = 680,226.75 : x
  2. Step 2: Convert to fraction form
    474,860.25/680,226.75 = 680,226.75/x
  3. Step 3: Cross multiply
    474,860.25x = 680,226.75 × 680,226.75
  4. Step 4: Simplify right side
    474,860.25x = 462,708,431,415.56
  5. Step 5: Solve for x
    x = 462,708,431,415.56/474,860.25
  6. Step 6: Final answer
    x = 974,409.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.