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Finding the Third Proportional to 203,680 and 447,482

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Solution

The third proportional to 203,680 and 447,482 is: 983,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,680 : 447,482 = 447,482 : x
  2. Step 2: Convert to fraction form
    203,680/447,482 = 447,482/x
  3. Step 3: Cross multiply
    203,680x = 447,482 × 447,482
  4. Step 4: Simplify right side
    203,680x = 200,240,140,324
  5. Step 5: Solve for x
    x = 200,240,140,324/203,680
  6. Step 6: Final answer
    x = 983,111.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.