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Finding the Third Proportional to 203,932.50 and 447,261

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Solution

The third proportional to 203,932.50 and 447,261 is: 980,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,932.50 : 447,261 = 447,261 : x
  2. Step 2: Convert to fraction form
    203,932.50/447,261 = 447,261/x
  3. Step 3: Cross multiply
    203,932.50x = 447,261 × 447,261
  4. Step 4: Simplify right side
    203,932.50x = 200,042,402,121
  5. Step 5: Solve for x
    x = 200,042,402,121/203,932.50
  6. Step 6: Final answer
    x = 980,924.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.