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Finding the Third Proportional to 466,186.50 and 658,020.94

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Solution

The third proportional to 466,186.50 and 658,020.94 is: 928,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,186.50 : 658,020.94 = 658,020.94 : x
  2. Step 2: Convert to fraction form
    466,186.50/658,020.94 = 658,020.94/x
  3. Step 3: Cross multiply
    466,186.50x = 658,020.94 × 658,020.94
  4. Step 4: Simplify right side
    466,186.50x = 432,991,554,188.38
  5. Step 5: Solve for x
    x = 432,991,554,188.38/466,186.50
  6. Step 6: Final answer
    x = 928,794.71

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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.