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Finding the Third Proportional to 306,576 and 457,976

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Solution

The third proportional to 306,576 and 457,976 is: 684,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,576 : 457,976 = 457,976 : x
  2. Step 2: Convert to fraction form
    306,576/457,976 = 457,976/x
  3. Step 3: Cross multiply
    306,576x = 457,976 × 457,976
  4. Step 4: Simplify right side
    306,576x = 209,742,016,576
  5. Step 5: Solve for x
    x = 209,742,016,576/306,576
  6. Step 6: Final answer
    x = 684,143.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.