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Finding the Third Proportional to 285,277 and 441,493.50

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Solution

The third proportional to 285,277 and 441,493.50 is: 683,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,277 : 441,493.50 = 441,493.50 : x
  2. Step 2: Convert to fraction form
    285,277/441,493.50 = 441,493.50/x
  3. Step 3: Cross multiply
    285,277x = 441,493.50 × 441,493.50
  4. Step 4: Simplify right side
    285,277x = 194,916,510,542.25
  5. Step 5: Solve for x
    x = 194,916,510,542.25/285,277
  6. Step 6: Final answer
    x = 683,253.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.