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Finding the Third Proportional to 328,082 and 492,124

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Solution

The third proportional to 328,082 and 492,124 is: 738,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,082 : 492,124 = 492,124 : x
  2. Step 2: Convert to fraction form
    328,082/492,124 = 492,124/x
  3. Step 3: Cross multiply
    328,082x = 492,124 × 492,124
  4. Step 4: Simplify right side
    328,082x = 242,186,031,376
  5. Step 5: Solve for x
    x = 242,186,031,376/328,082
  6. Step 6: Final answer
    x = 738,187.50

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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.