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Finding the Third Proportional to 393,130 and 589,078

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Solution

The third proportional to 393,130 and 589,078 is: 882,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,130 : 589,078 = 589,078 : x
  2. Step 2: Convert to fraction form
    393,130/589,078 = 589,078/x
  3. Step 3: Cross multiply
    393,130x = 589,078 × 589,078
  4. Step 4: Simplify right side
    393,130x = 347,012,890,084
  5. Step 5: Solve for x
    x = 347,012,890,084/393,130
  6. Step 6: Final answer
    x = 882,692.47

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