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Finding the Third Proportional to 221,311.69 and 474,177.94

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Solution

The third proportional to 221,311.69 and 474,177.94 is: 1,015,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,311.69 : 474,177.94 = 474,177.94 : x
  2. Step 2: Convert to fraction form
    221,311.69/474,177.94 = 474,177.94/x
  3. Step 3: Cross multiply
    221,311.69x = 474,177.94 × 474,177.94
  4. Step 4: Simplify right side
    221,311.69x = 224,844,716,411.75
  5. Step 5: Solve for x
    x = 224,844,716,411.75/221,311.69
  6. Step 6: Final answer
    x = 1,015,964.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.