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Finding the Third Proportional to 392,368 and 589,752

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Solution

The third proportional to 392,368 and 589,752 is: 886,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,368 : 589,752 = 589,752 : x
  2. Step 2: Convert to fraction form
    392,368/589,752 = 589,752/x
  3. Step 3: Cross multiply
    392,368x = 589,752 × 589,752
  4. Step 4: Simplify right side
    392,368x = 347,807,421,504
  5. Step 5: Solve for x
    x = 347,807,421,504/392,368
  6. Step 6: Final answer
    x = 886,431.67

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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.