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Finding the Third Proportional to 393,126 and 589,071

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Solution

The third proportional to 393,126 and 589,071 is: 882,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,126 : 589,071 = 589,071 : x
  2. Step 2: Convert to fraction form
    393,126/589,071 = 589,071/x
  3. Step 3: Cross multiply
    393,126x = 589,071 × 589,071
  4. Step 4: Simplify right side
    393,126x = 347,004,643,041
  5. Step 5: Solve for x
    x = 347,004,643,041/393,126
  6. Step 6: Final answer
    x = 882,680.47

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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.