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Finding the Third Proportional to 393,124 and 589,069

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Solution

The third proportional to 393,124 and 589,069 is: 882,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,124 : 589,069 = 589,069 : x
  2. Step 2: Convert to fraction form
    393,124/589,069 = 589,069/x
  3. Step 3: Cross multiply
    393,124x = 589,069 × 589,069
  4. Step 4: Simplify right side
    393,124x = 347,002,286,761
  5. Step 5: Solve for x
    x = 347,002,286,761/393,124
  6. Step 6: Final answer
    x = 882,678.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.