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Finding the Third Proportional to 237,490.73 and 484,652.11

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Solution

The third proportional to 237,490.73 and 484,652.11 is: 989,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,490.73 : 484,652.11 = 484,652.11 : x
  2. Step 2: Convert to fraction form
    237,490.73/484,652.11 = 484,652.11/x
  3. Step 3: Cross multiply
    237,490.73x = 484,652.11 × 484,652.11
  4. Step 4: Simplify right side
    237,490.73x = 234,887,667,121.64
  5. Step 5: Solve for x
    x = 234,887,667,121.64/237,490.73
  6. Step 6: Final answer
    x = 989,039.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.