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Finding the Third Proportional to 281,295.28 and 663,617.81

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Solution

The third proportional to 281,295.28 and 663,617.81 is: 1,565,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,295.28 : 663,617.81 = 663,617.81 : x
  2. Step 2: Convert to fraction form
    281,295.28/663,617.81 = 663,617.81/x
  3. Step 3: Cross multiply
    281,295.28x = 663,617.81 × 663,617.81
  4. Step 4: Simplify right side
    281,295.28x = 440,388,601,067.29
  5. Step 5: Solve for x
    x = 440,388,601,067.29/281,295.28
  6. Step 6: Final answer
    x = 1,565,574.08

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.