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Finding the Third Proportional to 303,284.25 and 464,585.63

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Solution

The third proportional to 303,284.25 and 464,585.63 is: 711,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,284.25 : 464,585.63 = 464,585.63 : x
  2. Step 2: Convert to fraction form
    303,284.25/464,585.63 = 464,585.63/x
  3. Step 3: Cross multiply
    303,284.25x = 464,585.63 × 464,585.63
  4. Step 4: Simplify right side
    303,284.25x = 215,839,802,956.64
  5. Step 5: Solve for x
    x = 215,839,802,956.64/303,284.25
  6. Step 6: Final answer
    x = 711,674.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.