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Finding the Third Proportional to 464,524.50 and 654,147

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Solution

The third proportional to 464,524.50 and 654,147 is: 921,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,524.50 : 654,147 = 654,147 : x
  2. Step 2: Convert to fraction form
    464,524.50/654,147 = 654,147/x
  3. Step 3: Cross multiply
    464,524.50x = 654,147 × 654,147
  4. Step 4: Simplify right side
    464,524.50x = 427,908,297,609
  5. Step 5: Solve for x
    x = 427,908,297,609/464,524.50
  6. Step 6: Final answer
    x = 921,174.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.