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Finding the Third Proportional to 304,724.81 and 656,277.75

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Solution

The third proportional to 304,724.81 and 656,277.75 is: 1,413,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,724.81 : 656,277.75 = 656,277.75 : x
  2. Step 2: Convert to fraction form
    304,724.81/656,277.75 = 656,277.75/x
  3. Step 3: Cross multiply
    304,724.81x = 656,277.75 × 656,277.75
  4. Step 4: Simplify right side
    304,724.81x = 430,700,485,145.06
  5. Step 5: Solve for x
    x = 430,700,485,145.06/304,724.81
  6. Step 6: Final answer
    x = 1,413,407.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.